Linear Algebra Examples

$8 x - 5 y = - 10$ , $- x - 5 y = 11$

Step 1

Solve for $x$ in $8 x - 5 y = - 10$ .

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Step 1.1

Add $5 y$ to both sides of the equation.

$8 x = - 10 + 5 y$

$- x - 5 y = 11$

Step 1.2

Divide each term in $8 x = - 10 + 5 y$ by $8$ and simplify.

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Step 1.2.1

Divide each term in $8 x = - 10 + 5 y$ by $8$ .

$\frac{8 x}{8} = \frac{- 10}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $8$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 10}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 10}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = \frac{- 10}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = \frac{- 10}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Cancel the common factor of $- 10$ and $8$ .

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Step 1.2.3.1.1.1

Factor $2$ out of $- 10$ .

$x = \frac{2 (- 5)}{8} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.3.1.1.2

Cancel the common factors.

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Step 1.2.3.1.1.2.1

Factor $2$ out of $8$ .

$x = \frac{2 \cdot - 5}{2 \cdot 4} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.3.1.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot - 5}{2 \cdot 4} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.3.1.1.2.3

Rewrite the expression.

$x = \frac{- 5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = \frac{- 5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = \frac{- 5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 1.2.3.1.2

Move the negative in front of the fraction.

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- x - 5 y = 11$

Step 2

Replace all occurrences of $x$ with $- \frac{5}{4} + \frac{5 y}{8}$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $- x - 5 y = 11$ with $- \frac{5}{4} + \frac{5 y}{8}$ .

$- (- \frac{5}{4} + \frac{5 y}{8}) - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $- (- \frac{5}{4} + \frac{5 y}{8}) - 5 y$ .

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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.

$\frac{5}{4} - \frac{5 y}{8} - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.1.2

Multiply $- - \frac{5}{4}$ .

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Step 2.2.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{5}{4}) - \frac{5 y}{8} - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.1.2.2

Multiply $\frac{5}{4}$ by $1$ .

$\frac{5}{4} - \frac{5 y}{8} - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{5 y}{8} - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{5 y}{8} - 5 y = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.2

To write $- 5 y$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{5}{4} - \frac{5 y}{8} - 5 y \cdot \frac{8}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.3

Simplify terms.

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Step 2.2.1.3.1

Combine $- 5 y$ and $\frac{8}{8}$ .

$\frac{5}{4} - \frac{5 y}{8} + \frac{- 5 y \cdot 8}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.3.2

Combine the numerators over the common denominator.

$\frac{5}{4} + \frac{- 5 y - 5 y \cdot 8}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} + \frac{- 5 y - 5 y \cdot 8}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4

Simplify each term.

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Step 2.2.1.4.1

Simplify the numerator.

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Step 2.2.1.4.1.1

Factor $5 y$ out of $- 5 y - 5 y \cdot 8$ .

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Step 2.2.1.4.1.1.1

Factor $5 y$ out of $- 5 y$ .

$\frac{5}{4} + \frac{5 y (- 1) - 5 y \cdot 8}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.1.1.2

Factor $5 y$ out of $- 5 y \cdot 8$ .

$\frac{5}{4} + \frac{5 y (- 1) + 5 y (- 1 \cdot 8)}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.1.1.3

Factor $5 y$ out of $5 y (- 1) + 5 y (- 1 \cdot 8)$ .

$\frac{5}{4} + \frac{5 y (- 1 - 1 \cdot 8)}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} + \frac{5 y (- 1 - 1 \cdot 8)}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.1.2

Multiply $- 1$ by $8$ .

$\frac{5}{4} + \frac{5 y (- 1 - 8)}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.1.3

Subtract $8$ from $- 1$ .

$\frac{5}{4} + \frac{5 y \cdot - 9}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.1.4

Multiply $- 9$ by $5$ .

$\frac{5}{4} + \frac{- 45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} + \frac{- 45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 2.2.1.4.2

Move the negative in front of the fraction.

$\frac{5}{4} - \frac{45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{5}{4} - \frac{45 y}{8} = 11$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3

Solve for $y$ in $\frac{5}{4} - \frac{45 y}{8} = 11$ .

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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

Subtract $\frac{5}{4}$ from both sides of the equation.

$- \frac{45 y}{8} = 11 - \frac{5}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.1.2

To write $11$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{45 y}{8} = 11 \cdot \frac{4}{4} - \frac{5}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.1.3

Combine $11$ and $\frac{4}{4}$ .

$- \frac{45 y}{8} = \frac{11 \cdot 4}{4} - \frac{5}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.1.4

Combine the numerators over the common denominator.

$- \frac{45 y}{8} = \frac{11 \cdot 4 - 5}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.1.5

Simplify the numerator.

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Step 3.1.5.1

Multiply $11$ by $4$ .

$- \frac{45 y}{8} = \frac{44 - 5}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.1.5.2

Subtract $5$ from $44$ .

$- \frac{45 y}{8} = \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- \frac{45 y}{8} = \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$- \frac{45 y}{8} = \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.2

Multiply both sides of the equation by $- \frac{8}{45}$ .

$- \frac{8}{45} \cdot (- \frac{45 y}{8}) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

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 $- \frac{8}{45} (- \frac{45 y}{8})$ .

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Step 3.3.1.1.1

Cancel the common factor of $8$ .

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Step 3.3.1.1.1.1

Move the leading negative in $- \frac{8}{45}$ into the numerator.

$\frac{- 8}{45} \cdot (- \frac{45 y}{8}) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.1.2

Move the leading negative in $- \frac{45 y}{8}$ into the numerator.

$\frac{- 8}{45} \cdot \frac{- 45 y}{8} = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.1.3

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{45} \cdot \frac{- 45 y}{8} = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.1.4

Cancel the common factor.

$\frac{8 \cdot - 1}{45} \cdot \frac{- 45 y}{8} = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.1.5

Rewrite the expression.

$\frac{- 1}{45} \cdot (- 45 y) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$\frac{- 1}{45} \cdot (- 45 y) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.2

Cancel the common factor of $45$ .

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Step 3.3.1.1.2.1

Factor $45$ out of $- 45 y$ .

$\frac{- 1}{45} \cdot (45 (- y)) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.2.2

Cancel the common factor.

$\frac{- 1}{45} \cdot (45 (- y)) = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.2.3

Rewrite the expression.

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.3

Multiply.

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Step 3.3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.1.1.3.2

Multiply $y$ by $1$ .

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2

Simplify the right side.

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Step 3.3.2.1

Simplify $- \frac{8}{45} \cdot \frac{39}{4}$ .

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Step 3.3.2.1.1

Cancel the common factor of $4$ .

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Step 3.3.2.1.1.1

Move the leading negative in $- \frac{8}{45}$ into the numerator.

$y = \frac{- 8}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.1.2

Factor $4$ out of $- 8$ .

$y = \frac{4 (- 2)}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.1.3

Cancel the common factor.

$y = \frac{4 \cdot - 2}{45} \cdot \frac{39}{4}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.1.4

Rewrite the expression.

$y = \frac{- 2}{45} \cdot 39$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = \frac{- 2}{45} \cdot 39$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.2

Cancel the common factor of $3$ .

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Step 3.3.2.1.2.1

Factor $3$ out of $45$ .

$y = \frac{- 2}{3 (15)} \cdot 39$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.2.2

Factor $3$ out of $39$ .

$y = \frac{- 2}{3 \cdot 15} \cdot (3 \cdot 13)$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.2.3

Cancel the common factor.

$y = \frac{- 2}{3 \cdot 15} \cdot (3 \cdot 13)$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.2.4

Rewrite the expression.

$y = \frac{- 2}{15} \cdot 13$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = \frac{- 2}{15} \cdot 13$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.3

Combine $\frac{- 2}{15}$ and $13$ .

$y = \frac{- 2 \cdot 13}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.4

Simplify the expression.

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Step 3.3.2.1.4.1

Multiply $- 2$ by $13$ .

$y = \frac{- 26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 3.3.2.1.4.2

Move the negative in front of the fraction.

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{5 y}{8}$

Step 4

Replace all occurrences of $y$ with $- \frac{26}{15}$ in each equation.

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Step 4.1

Replace all occurrences of $y$ in $x = - \frac{5}{4} + \frac{5 y}{8}$ with $- \frac{26}{15}$ .

$x = - \frac{5}{4} + \frac{5 (- \frac{26}{15})}{8}$

$y = - \frac{26}{15}$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $- \frac{5}{4} + \frac{5 (- \frac{26}{15})}{8}$ .

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Step 4.2.1.1

Simplify each term.

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Step 4.2.1.1.1

Simplify the numerator.

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Step 4.2.1.1.1.1

Multiply $- 1$ by $5$ .

$x = - \frac{5}{4} + \frac{- 5 (\frac{26}{15})}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.1.2

Combine $- 5$ and $\frac{26}{15}$ .

$x = - \frac{5}{4} + \frac{\frac{- 5 \cdot 26}{15}}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{\frac{- 5 \cdot 26}{15}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.2

Multiply $- 5$ by $26$ .

$x = - \frac{5}{4} + \frac{\frac{- 130}{15}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.3

Reduce the expression by cancelling the common factors.

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Step 4.2.1.1.3.1

Cancel the common factor of $- 130$ and $15$ .

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Step 4.2.1.1.3.1.1

Factor $5$ out of $- 130$ .

$x = - \frac{5}{4} + \frac{\frac{5 (- 26)}{15}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.3.1.2

Cancel the common factors.

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Step 4.2.1.1.3.1.2.1

Factor $5$ out of $15$ .

$x = - \frac{5}{4} + \frac{\frac{5 \cdot - 26}{5 \cdot 3}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.3.1.2.2

Cancel the common factor.

$x = - \frac{5}{4} + \frac{\frac{5 \cdot - 26}{5 \cdot 3}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.3.1.2.3

Rewrite the expression.

$x = - \frac{5}{4} + \frac{\frac{- 26}{3}}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{\frac{- 26}{3}}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{\frac{- 26}{3}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.3.2

Move the negative in front of the fraction.

$x = - \frac{5}{4} + \frac{- \frac{26}{3}}{8}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{- \frac{26}{3}}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.4

Multiply the numerator by the reciprocal of the denominator.

$x = - \frac{5}{4} - \frac{26}{3} \cdot \frac{1}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.5

Cancel the common factor of $2$ .

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Step 4.2.1.1.5.1

Move the leading negative in $- \frac{26}{3}$ into the numerator.

$x = - \frac{5}{4} + \frac{- 26}{3} \cdot \frac{1}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.5.2

Factor $2$ out of $- 26$ .

$x = - \frac{5}{4} + \frac{2 (- 13)}{3} \cdot \frac{1}{8}$

$y = - \frac{26}{15}$

Step 4.2.1.1.5.3

Factor $2$ out of $8$ .

$x = - \frac{5}{4} + \frac{2 \cdot - 13}{3} \cdot \frac{1}{2 \cdot 4}$

$y = - \frac{26}{15}$

Step 4.2.1.1.5.4

Cancel the common factor.

$x = - \frac{5}{4} + \frac{2 \cdot - 13}{3} \cdot \frac{1}{2 \cdot 4}$

$y = - \frac{26}{15}$

Step 4.2.1.1.5.5

Rewrite the expression.

$x = - \frac{5}{4} + \frac{- 13}{3} \cdot \frac{1}{4}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} + \frac{- 13}{3} \cdot \frac{1}{4}$

$y = - \frac{26}{15}$

Step 4.2.1.1.6

Multiply $\frac{- 13}{3}$ by $\frac{1}{4}$ .

$x = - \frac{5}{4} + \frac{- 13}{3 \cdot 4}$

$y = - \frac{26}{15}$

Step 4.2.1.1.7

Multiply $3$ by $4$ .

$x = - \frac{5}{4} + \frac{- 13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.1.8

Move the negative in front of the fraction.

$x = - \frac{5}{4} - \frac{13}{12}$

$y = - \frac{26}{15}$

$x = - \frac{5}{4} - \frac{13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.2

To write $- \frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x = - \frac{5}{4} \cdot \frac{3}{3} - \frac{13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.2.1.3.1

Multiply $\frac{5}{4}$ by $\frac{3}{3}$ .

$x = - \frac{5 \cdot 3}{4 \cdot 3} - \frac{13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.3.2

Multiply $4$ by $3$ .

$x = - \frac{5 \cdot 3}{12} - \frac{13}{12}$

$y = - \frac{26}{15}$

$x = - \frac{5 \cdot 3}{12} - \frac{13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.4

Combine the numerators over the common denominator.

$x = \frac{- 5 \cdot 3 - 13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.5

Simplify the numerator.

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Step 4.2.1.5.1

Multiply $- 5$ by $3$ .

$x = \frac{- 15 - 13}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.5.2

Subtract $13$ from $- 15$ .

$x = \frac{- 28}{12}$

$y = - \frac{26}{15}$

$x = \frac{- 28}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.6

Cancel the common factor of $- 28$ and $12$ .

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Step 4.2.1.6.1

Factor $4$ out of $- 28$ .

$x = \frac{4 (- 7)}{12}$

$y = - \frac{26}{15}$

Step 4.2.1.6.2

Cancel the common factors.

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Step 4.2.1.6.2.1

Factor $4$ out of $12$ .

$x = \frac{4 \cdot - 7}{4 \cdot 3}$

$y = - \frac{26}{15}$

Step 4.2.1.6.2.2

Cancel the common factor.

$x = \frac{4 \cdot - 7}{4 \cdot 3}$

$y = - \frac{26}{15}$

Step 4.2.1.6.2.3

Rewrite the expression.

$x = \frac{- 7}{3}$

$y = - \frac{26}{15}$

$x = \frac{- 7}{3}$

$y = - \frac{26}{15}$

$x = \frac{- 7}{3}$

$y = - \frac{26}{15}$

Step 4.2.1.7

Move the negative in front of the fraction.

$x = - \frac{7}{3}$

$y = - \frac{26}{15}$

$x = - \frac{7}{3}$

$y = - \frac{26}{15}$

$x = - \frac{7}{3}$

$y = - \frac{26}{15}$

$x = - \frac{7}{3}$

$y = - \frac{26}{15}$

Step 5

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

$(- \frac{7}{3}, - \frac{26}{15})$

Step 6

The result can be shown in multiple forms.

Point Form:

$(- \frac{7}{3}, - \frac{26}{15})$

Equation Form:

$x = - \frac{7}{3}, y = - \frac{26}{15}$

Step 7