Algebra Examples

$\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1

Solve for $x$ in $\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Combine $\frac{2}{3}$ and $x$ .

$\frac{2 x}{3} + \frac{3}{7} y = - \frac{13}{3}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.1.2

Combine $\frac{3}{7}$ and $y$ .

$\frac{2 x}{3} + \frac{3 y}{7} = - \frac{13}{3}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$\frac{2 x}{3} + \frac{3 y}{7} = - \frac{13}{3}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.2

Subtract $\frac{3 y}{7}$ from both sides of the equation.

$\frac{2 x}{3} = - \frac{13}{3} - \frac{3 y}{7}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.3

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4

Simplify both sides of the equation.

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Step 1.4.1

Simplify the left side.

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Step 1.4.1.1

Simplify $\frac{3}{2} \cdot \frac{2 x}{3}$ .

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Step 1.4.1.1.1

Cancel the common factor of $3$ .

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Step 1.4.1.1.1.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.1.1.1.2

Rewrite the expression.

$\frac{1}{2} \cdot (2 x) = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$\frac{1}{2} \cdot (2 x) = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.1.1.2

Cancel the common factor of $2$ .

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Step 1.4.1.1.2.1

Factor $2$ out of $2 x$ .

$\frac{1}{2} \cdot (2 (x)) = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.1.1.2.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 x) = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.1.1.2.3

Rewrite the expression.

$x = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = \frac{3}{2} \cdot (- \frac{13}{3} - \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2

Simplify the right side.

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Step 1.4.2.1

Simplify $\frac{3}{2} (- \frac{13}{3} - \frac{3 y}{7})$ .

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Step 1.4.2.1.1

Apply the distributive property.

$x = \frac{3}{2} \cdot (- \frac{13}{3}) + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.2

Cancel the common factor of $3$ .

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Step 1.4.2.1.2.1

Move the leading negative in $- \frac{13}{3}$ into the numerator.

$x = \frac{3}{2} \cdot \frac{- 13}{3} + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.2.2

Cancel the common factor.

$x = \frac{3}{2} \cdot \frac{- 13}{3} + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.2.3

Rewrite the expression.

$x = \frac{1}{2} \cdot - 13 + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = \frac{1}{2} \cdot - 13 + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.3

Combine $\frac{1}{2}$ and $- 13$ .

$x = \frac{- 13}{2} + \frac{3}{2} \cdot (- \frac{3 y}{7})$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.4

Multiply $\frac{3}{2} (- \frac{3 y}{7})$ .

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Step 1.4.2.1.4.1

Multiply $\frac{3}{2}$ by $\frac{3 y}{7}$ .

$x = \frac{- 13}{2} - \frac{3 (3 y)}{2 \cdot 7}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.4.2

Multiply $3$ by $3$ .

$x = \frac{- 13}{2} - \frac{9 y}{2 \cdot 7}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.4.3

Multiply $2$ by $7$ .

$x = \frac{- 13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = \frac{- 13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.4.2.1.5

Move the negative in front of the fraction.

$x = - \frac{13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{13}{2} - \frac{9 y}{14}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 1.5

Reorder $- \frac{13}{2}$ and $- \frac{9 y}{14}$ .

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$

Step 2

Replace all occurrences of $x$ with $- \frac{9 y}{14} - \frac{13}{2}$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$ with $- \frac{9 y}{14} - \frac{13}{2}$ .

$\frac{1}{8} \cdot (- \frac{9 y}{14} - \frac{13}{2}) + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $\frac{1}{8} \cdot (- \frac{9 y}{14} - \frac{13}{2}) + \frac{3}{7} y$ .

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Step 2.2.1.1

Simplify each term.

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Step 2.2.1.1.1

Apply the distributive property.

$\frac{1}{8} \cdot (- \frac{9 y}{14}) + \frac{1}{8} \cdot (- \frac{13}{2}) + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.1.2

Multiply $\frac{1}{8} (- \frac{9 y}{14})$ .

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Step 2.2.1.1.2.1

Multiply $\frac{1}{8}$ by $\frac{9 y}{14}$ .

$- \frac{9 y}{8 \cdot 14} + \frac{1}{8} \cdot (- \frac{13}{2}) + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.1.2.2

Multiply $8$ by $14$ .

$- \frac{9 y}{112} + \frac{1}{8} \cdot (- \frac{13}{2}) + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$- \frac{9 y}{112} + \frac{1}{8} \cdot (- \frac{13}{2}) + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.1.3

Multiply $\frac{1}{8} (- \frac{13}{2})$ .

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Step 2.2.1.1.3.1

Multiply $\frac{1}{8}$ by $\frac{13}{2}$ .

$- \frac{9 y}{112} - \frac{13}{8 \cdot 2} + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.1.3.2

Multiply $8$ by $2$ .

$- \frac{9 y}{112} - \frac{13}{16} + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$- \frac{9 y}{112} - \frac{13}{16} + \frac{3}{7} y = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.1.4

Combine $\frac{3}{7}$ and $y$ .

$- \frac{9 y}{112} - \frac{13}{16} + \frac{3 y}{7} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$- \frac{9 y}{112} - \frac{13}{16} + \frac{3 y}{7} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.2

To write $\frac{3 y}{7}$ as a fraction with a common denominator, multiply by $\frac{16}{16}$ .

$- \frac{9 y}{112} + \frac{3 y}{7} \cdot \frac{16}{16} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.3

Write each expression with a common denominator of $112$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.2.1.3.1

Multiply $\frac{3 y}{7}$ by $\frac{16}{16}$ .

$- \frac{9 y}{112} + \frac{3 y \cdot 16}{7 \cdot 16} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.3.2

Multiply $7$ by $16$ .

$- \frac{9 y}{112} + \frac{3 y \cdot 16}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$- \frac{9 y}{112} + \frac{3 y \cdot 16}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.4

Combine the numerators over the common denominator.

$\frac{- 9 y + 3 y \cdot 16}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.5

Simplify the numerator.

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Step 2.2.1.5.1

Factor $3 y$ out of $- 9 y + 3 y \cdot 16$ .

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Step 2.2.1.5.1.1

Factor $3 y$ out of $- 9 y$ .

$\frac{3 y (- 3) + 3 y \cdot 16}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.5.1.2

Factor $3 y$ out of $3 y \cdot 16$ .

$\frac{3 y (- 3) + 3 y (16)}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.5.1.3

Factor $3 y$ out of $3 y (- 3) + 3 y (16)$ .

$\frac{3 y (- 3 + 16)}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{3 y (- 3 + 16)}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.5.2

Add $- 3$ and $16$ .

$\frac{3 y \cdot 13}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 2.2.1.5.3

Multiply $13$ by $3$ .

$\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3

Solve for $y$ in $\frac{39 y}{112} - \frac{13}{16} = - \frac{13}{4}$ .

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Step 3.1

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1.1

Add $\frac{13}{16}$ to both sides of the equation.

$\frac{39 y}{112} = - \frac{13}{4} + \frac{13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.2

To write $- \frac{13}{4}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{39 y}{112} = - \frac{13}{4} \cdot \frac{4}{4} + \frac{13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1.3.1

Multiply $\frac{13}{4}$ by $\frac{4}{4}$ .

$\frac{39 y}{112} = - \frac{13 \cdot 4}{4 \cdot 4} + \frac{13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.3.2

Multiply $4$ by $4$ .

$\frac{39 y}{112} = - \frac{13 \cdot 4}{16} + \frac{13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} = - \frac{13 \cdot 4}{16} + \frac{13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.4

Combine the numerators over the common denominator.

$\frac{39 y}{112} = \frac{- 13 \cdot 4 + 13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.5

Simplify the numerator.

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Step 3.1.5.1

Multiply $- 13$ by $4$ .

$\frac{39 y}{112} = \frac{- 52 + 13}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.5.2

Add $- 52$ and $13$ .

$\frac{39 y}{112} = \frac{- 39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} = \frac{- 39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.1.6

Move the negative in front of the fraction.

$\frac{39 y}{112} = - \frac{39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{39 y}{112} = - \frac{39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.2

Multiply both sides of the equation by $\frac{112}{39}$ .

$\frac{112}{39} \cdot \frac{39 y}{112} = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3

Simplify both sides of the equation.

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Step 3.3.1

Simplify the left side.

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Step 3.3.1.1

Simplify $\frac{112}{39} \cdot \frac{39 y}{112}$ .

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Step 3.3.1.1.1

Cancel the common factor of $112$ .

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Step 3.3.1.1.1.1

Cancel the common factor.

$\frac{112}{39} \cdot \frac{39 y}{112} = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.1.1.1.2

Rewrite the expression.

$\frac{1}{39} \cdot (39 y) = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$\frac{1}{39} \cdot (39 y) = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.1.1.2

Cancel the common factor of $39$ .

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Step 3.3.1.1.2.1

Factor $39$ out of $39 y$ .

$\frac{1}{39} \cdot (39 (y)) = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.1.1.2.2

Cancel the common factor.

$\frac{1}{39} \cdot (39 y) = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.1.1.2.3

Rewrite the expression.

$y = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = \frac{112}{39} \cdot (- \frac{39}{16})$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2

Simplify the right side.

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Step 3.3.2.1

Simplify $\frac{112}{39} (- \frac{39}{16})$ .

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Step 3.3.2.1.1

Cancel the common factor of $16$ .

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Step 3.3.2.1.1.1

Move the leading negative in $- \frac{39}{16}$ into the numerator.

$y = \frac{112}{39} \cdot \frac{- 39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.1.2

Factor $16$ out of $112$ .

$y = \frac{16 (7)}{39} \cdot \frac{- 39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.1.3

Cancel the common factor.

$y = \frac{16 \cdot 7}{39} \cdot \frac{- 39}{16}$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.1.4

Rewrite the expression.

$y = \frac{7}{39} \cdot - 39$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = \frac{7}{39} \cdot - 39$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.2

Cancel the common factor of $39$ .

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Step 3.3.2.1.2.1

Factor $39$ out of $- 39$ .

$y = \frac{7}{39} \cdot (39 (- 1))$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.2.2

Cancel the common factor.

$y = \frac{7}{39} \cdot (39 \cdot - 1)$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.2.3

Rewrite the expression.

$y = 7 \cdot - 1$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = 7 \cdot - 1$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 3.3.2.1.3

Multiply $7$ by $- 1$ .

$y = - 7$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 y}{14} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 y}{14} - \frac{13}{2}$

Step 4

Replace all occurrences of $y$ with $- 7$ in each equation.

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Step 4.1

Replace all occurrences of $y$ in $x = - \frac{9 y}{14} - \frac{13}{2}$ with $- 7$ .

$x = - \frac{9 (- 7)}{14} - \frac{13}{2}$

$y = - 7$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $- \frac{9 (- 7)}{14} - \frac{13}{2}$ .

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Step 4.2.1.1

Simplify each term.

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Step 4.2.1.1.1

Cancel the common factor of $- 7$ and $14$ .

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Step 4.2.1.1.1.1

Factor $7$ out of $9 (- 7)$ .

$x = - \frac{7 (9 \cdot (- 1))}{14} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.1.2

Cancel the common factors.

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Step 4.2.1.1.1.2.1

Factor $7$ out of $14$ .

$x = - \frac{7 (9 \cdot (- 1))}{7 (2)} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.1.2.2

Cancel the common factor.

$x = - \frac{7 (9 \cdot (- 1))}{7 \cdot 2} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.1.2.3

Rewrite the expression.

$x = - \frac{9 \cdot (- 1)}{2} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 \cdot (- 1)}{2} - \frac{13}{2}$

$y = - 7$

$x = - \frac{9 \cdot (- 1)}{2} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.2

Multiply $9$ by $- 1$ .

$x = - \frac{- 9}{2} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.3

Move the negative in front of the fraction.

$x = \frac{9}{2} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.4

Multiply $- - \frac{9}{2}$ .

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Step 4.2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$x = 1 (\frac{9}{2}) - \frac{13}{2}$

$y = - 7$

Step 4.2.1.1.4.2

Multiply $\frac{9}{2}$ by $1$ .

$x = \frac{9}{2} - \frac{13}{2}$

$y = - 7$

$x = \frac{9}{2} - \frac{13}{2}$

$y = - 7$

$x = \frac{9}{2} - \frac{13}{2}$

$y = - 7$

Step 4.2.1.2

Combine fractions.

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Step 4.2.1.2.1

Combine the numerators over the common denominator.

$x = \frac{9 - 13}{2}$

$y = - 7$

Step 4.2.1.2.2

Simplify the expression.

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Step 4.2.1.2.2.1

Subtract $13$ from $9$ .

$x = \frac{- 4}{2}$

$y = - 7$

Step 4.2.1.2.2.2

Divide $- 4$ by $2$ .

$x = - 2$

$y = - 7$

$x = - 2$

$y = - 7$

$x = - 2$

$y = - 7$

$x = - 2$

$y = - 7$

$x = - 2$

$y = - 7$

$x = - 2$

$y = - 7$

Step 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- 2, - 7)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(- 2, - 7)$

Equation Form:

$x = - 2, y = - 7$

Step 7