Finite Math Examples

$5 (2 y - 7) = 7 - 7 (x - 5)$ , $10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1

Solve for $y$ in $5 (2 y - 7) = 7 - 7 (x - 5)$ .

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Step 1.1

Divide each term in $5 (2 y - 7) = 7 - 7 (x - 5)$ by $5$ and simplify.

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Step 1.1.1

Divide each term in $5 (2 y - 7) = 7 - 7 (x - 5)$ by $5$ .

$\frac{5 (2 y - 7)}{5} = \frac{7}{5} + \frac{- 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.2

Simplify the left side.

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Step 1.1.2.1

Cancel the common factor of $5$ .

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Step 1.1.2.1.1

Cancel the common factor.

$\frac{5 (2 y - 7)}{5} = \frac{7}{5} + \frac{- 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.2.1.2

Divide $2 y - 7$ by $1$ .

$2 y - 7 = \frac{7}{5} + \frac{- 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = \frac{7}{5} + \frac{- 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = \frac{7}{5} + \frac{- 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3

Simplify the right side.

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Step 1.1.3.1

Combine the numerators over the common denominator.

$2 y - 7 = \frac{7 - 7 (x - 5)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.2

Simplify each term.

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Step 1.1.3.2.1

Apply the distributive property.

$2 y - 7 = \frac{7 - 7 x - 7 \cdot - 5}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.2.2

Multiply $- 7$ by $- 5$ .

$2 y - 7 = \frac{7 - 7 x + 35}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = \frac{7 - 7 x + 35}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3

Simplify with factoring out.

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Step 1.1.3.3.1

Add $7$ and $35$ .

$2 y - 7 = \frac{- 7 x + 42}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.2

Factor $7$ out of $- 7 x + 42$ .

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Step 1.1.3.3.2.1

Factor $7$ out of $- 7 x$ .

$2 y - 7 = \frac{7 (- x) + 42}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.2.2

Factor $7$ out of $42$ .

$2 y - 7 = \frac{7 (- x) + 7 (6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.2.3

Factor $7$ out of $7 (- x) + 7 (6)$ .

$2 y - 7 = \frac{7 (- x + 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = \frac{7 (- x + 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.3

Factor $- 1$ out of $- x$ .

$2 y - 7 = \frac{7 (- (x) + 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.4

Rewrite $6$ as $- 1 (- 6)$ .

$2 y - 7 = \frac{7 (- (x) - 1 \cdot - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.5

Factor $- 1$ out of $- (x) - 1 (- 6)$ .

$2 y - 7 = \frac{7 (- (x - 6))}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.6

Simplify the expression.

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Step 1.1.3.3.6.1

Rewrite $- (x - 6)$ as $- 1 (x - 6)$ .

$2 y - 7 = \frac{7 (- 1 (x - 6))}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.1.3.3.6.2

Move the negative in front of the fraction.

$2 y - 7 = - \frac{7 (x - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = - \frac{7 (x - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = - \frac{7 (x - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = - \frac{7 (x - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$2 y - 7 = - \frac{7 (x - 6)}{5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.2

Add $7$ to both sides of the equation.

$2 y = - \frac{7 (x - 6)}{5} + 7$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3

Divide each term in $2 y = - \frac{7 (x - 6)}{5} + 7$ by $2$ and simplify.

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Step 1.3.1

Divide each term in $2 y = - \frac{7 (x - 6)}{5} + 7$ by $2$ .

$\frac{2 y}{2} = \frac{- \frac{7 (x - 6)}{5}}{2} + \frac{7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $2$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- \frac{7 (x - 6)}{5}}{2} + \frac{7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- \frac{7 (x - 6)}{5}}{2} + \frac{7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{- \frac{7 (x - 6)}{5}}{2} + \frac{7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{- \frac{7 (x - 6)}{5}}{2} + \frac{7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Combine the numerators over the common denominator.

$y = \frac{- \frac{7 (x - 6)}{5} + 7}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.2

To write $7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{- \frac{7 (x - 6)}{5} + 7 \cdot \frac{5}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.3

Simplify terms.

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Step 1.3.3.3.1

Combine $7$ and $\frac{5}{5}$ .

$y = \frac{- \frac{7 (x - 6)}{5} + \frac{7 \cdot 5}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.3.2

Combine the numerators over the common denominator.

$y = \frac{\frac{- 7 (x - 6) + 7 \cdot 5}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{\frac{- 7 (x - 6) + 7 \cdot 5}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4

Simplify the numerator.

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Step 1.3.3.4.1

Factor $7$ out of $- 7 (x - 6) + 7 \cdot 5$ .

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Step 1.3.3.4.1.1

Factor $7$ out of $- 7 (x - 6)$ .

$y = \frac{\frac{7 (- (x - 6)) + 7 \cdot 5}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4.1.2

Factor $7$ out of $7 \cdot 5$ .

$y = \frac{\frac{7 (- (x - 6)) + 7 (5)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4.1.3

Factor $7$ out of $7 (- (x - 6)) + 7 (5)$ .

$y = \frac{\frac{7 (- (x - 6) + 5)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{\frac{7 (- (x - 6) + 5)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4.2

Apply the distributive property.

$y = \frac{\frac{7 (- x + 6 + 5)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4.3

Multiply $- 1$ by $- 6$ .

$y = \frac{\frac{7 (- x + 6 + 5)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.4.4

Add $6$ and $5$ .

$y = \frac{\frac{7 (- x + 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{\frac{7 (- x + 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.5

Simplify with factoring out.

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Step 1.3.3.5.1

Factor $- 1$ out of $- x$ .

$y = \frac{\frac{7 (- (x) + 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.5.2

Rewrite $11$ as $- 1 (- 11)$ .

$y = \frac{\frac{7 (- (x) - 1 \cdot - 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.5.3

Factor $- 1$ out of $- (x) - 1 (- 11)$ .

$y = \frac{\frac{7 (- (x - 11))}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.5.4

Simplify the expression.

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Step 1.3.3.5.4.1

Rewrite $- (x - 11)$ as $- 1 (x - 11)$ .

$y = \frac{\frac{7 (- 1 (x - 11))}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.5.4.2

Move the negative in front of the fraction.

$y = \frac{- \frac{7 (x - 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{- \frac{7 (x - 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = \frac{- \frac{7 (x - 11)}{5}}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.6

Multiply the numerator by the reciprocal of the denominator.

$y = - \frac{7 (x - 11)}{5} \cdot \frac{1}{2}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.7

Multiply $- \frac{7 (x - 11)}{5} \cdot \frac{1}{2}$ .

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Step 1.3.3.7.1

Multiply $\frac{1}{2}$ by $\frac{7 (x - 11)}{5}$ .

$y = - \frac{7 (x - 11)}{2 \cdot 5}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 1.3.3.7.2

Multiply $2$ by $5$ .

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 2 y) - 3 x$

Step 2

Replace all occurrences of $y$ with $- \frac{7 (x - 11)}{10}$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $10 - 2 x = 10 (1 - 2 y) - 3 x$ with $- \frac{7 (x - 11)}{10}$ .

$10 - 2 x = 10 (1 - 2 (- \frac{7 (x - 11)}{10})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $10 (1 - 2 (- \frac{7 (x - 11)}{10})) - 3 x$ .

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Step 2.2.1.1

Simplify each term.

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Step 2.2.1.1.1

Simplify each term.

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Step 2.2.1.1.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1.1.1

Move the leading negative in $- \frac{7 (x - 11)}{10}$ into the numerator.

$10 - 2 x = 10 (1 - 2 \frac{- 7 (x - 11)}{10}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.1.2

Factor $2$ out of $- 2$ .

$10 - 2 x = 10 (1 + 2 (- 1) (\frac{- 7 (x - 11)}{10})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.1.3

Factor $2$ out of $10$ .

$10 - 2 x = 10 (1 + 2 \cdot (- 1 \frac{- 7 (x - 11)}{2 \cdot 5})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.1.4

Cancel the common factor.

$10 - 2 x = 10 (1 + 2 \cdot (- 1 \frac{- 7 (x - 11)}{2 \cdot 5})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.1.5

Rewrite the expression.

$10 - 2 x = 10 (1 - 1 \frac{- 7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 - 1 \frac{- 7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.2

Move the negative in front of the fraction.

$10 - 2 x = 10 (1 - 1 (- \frac{7 (x - 11)}{5})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.3

Multiply $- 1 (- \frac{7 (x - 11)}{5})$ .

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Step 2.2.1.1.1.3.1

Multiply $- 1$ by $- 1$ .

$10 - 2 x = 10 (1 + 1 (\frac{7 (x - 11)}{5})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.1.3.2

Multiply $\frac{7 (x - 11)}{5}$ by $1$ .

$10 - 2 x = 10 (1 + \frac{7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 + \frac{7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (1 + \frac{7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.2

Write $1$ as a fraction with a common denominator.

$10 - 2 x = 10 (\frac{5}{5} + \frac{7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.3

Combine the numerators over the common denominator.

$10 - 2 x = 10 (\frac{5 + 7 (x - 11)}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.4

Simplify the numerator.

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Step 2.2.1.1.4.1

Apply the distributive property.

$10 - 2 x = 10 (\frac{5 + 7 x + 7 \cdot - 11}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.4.2

Multiply $7$ by $- 11$ .

$10 - 2 x = 10 (\frac{5 + 7 x - 77}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.4.3

Subtract $77$ from $5$ .

$10 - 2 x = 10 (\frac{7 x - 72}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 10 (\frac{7 x - 72}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.5

Cancel the common factor of $5$ .

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Step 2.2.1.1.5.1

Factor $5$ out of $10$ .

$10 - 2 x = 5 (2) (\frac{7 x - 72}{5}) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.5.2

Cancel the common factor.

$10 - 2 x = 5 \cdot (2 (\frac{7 x - 72}{5})) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.5.3

Rewrite the expression.

$10 - 2 x = 2 (7 x - 72) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 2 (7 x - 72) - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.6

Apply the distributive property.

$10 - 2 x = 2 (7 x) + 2 \cdot - 72 - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.7

Multiply $7$ by $2$ .

$10 - 2 x = 14 x + 2 \cdot - 72 - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.1.8

Multiply $2$ by $- 72$ .

$10 - 2 x = 14 x - 144 - 3 x$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 14 x - 144 - 3 x$

$y = - \frac{7 (x - 11)}{10}$

Step 2.2.1.2

Subtract $3 x$ from $14 x$ .

$10 - 2 x = 11 x - 144$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 11 x - 144$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 11 x - 144$

$y = - \frac{7 (x - 11)}{10}$

$10 - 2 x = 11 x - 144$

$y = - \frac{7 (x - 11)}{10}$

Step 3

Solve for $x$ in $10 - 2 x = 11 x - 144$ .

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Step 3.1

Move all terms containing $x$ to the left side of the equation.

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Step 3.1.1

Subtract $11 x$ from both sides of the equation.

$10 - 2 x - 11 x = - 144$

$y = - \frac{7 (x - 11)}{10}$

Step 3.1.2

Subtract $11 x$ from $- 2 x$ .

$10 - 13 x = - 144$

$y = - \frac{7 (x - 11)}{10}$

$10 - 13 x = - 144$

$y = - \frac{7 (x - 11)}{10}$

Step 3.2

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

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Step 3.2.1

Subtract $10$ from both sides of the equation.

$- 13 x = - 144 - 10$

$y = - \frac{7 (x - 11)}{10}$

Step 3.2.2

Subtract $10$ from $- 144$ .

$- 13 x = - 154$

$y = - \frac{7 (x - 11)}{10}$

$- 13 x = - 154$

$y = - \frac{7 (x - 11)}{10}$

Step 3.3

Divide each term in $- 13 x = - 154$ by $- 13$ and simplify.

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Step 3.3.1

Divide each term in $- 13 x = - 154$ by $- 13$ .

$\frac{- 13 x}{- 13} = \frac{- 154}{- 13}$

$y = - \frac{7 (x - 11)}{10}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $- 13$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{- 13 x}{- 13} = \frac{- 154}{- 13}$

$y = - \frac{7 (x - 11)}{10}$

Step 3.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 154}{- 13}$

$y = - \frac{7 (x - 11)}{10}$

$x = \frac{- 154}{- 13}$

$y = - \frac{7 (x - 11)}{10}$

$x = \frac{- 154}{- 13}$

$y = - \frac{7 (x - 11)}{10}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Dividing two negative values results in a positive value.

$x = \frac{154}{13}$

$y = - \frac{7 (x - 11)}{10}$

$x = \frac{154}{13}$

$y = - \frac{7 (x - 11)}{10}$

$x = \frac{154}{13}$

$y = - \frac{7 (x - 11)}{10}$

$x = \frac{154}{13}$

$y = - \frac{7 (x - 11)}{10}$

Step 4

Replace all occurrences of $x$ with $\frac{154}{13}$ in each equation.

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Step 4.1

Replace all occurrences of $x$ in $y = - \frac{7 (x - 11)}{10}$ with $\frac{154}{13}$ .

$y = - \frac{7 ((\frac{154}{13}) - 11)}{10}$

$x = \frac{154}{13}$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $- \frac{7 ((\frac{154}{13}) - 11)}{10}$ .

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Step 4.2.1.1

Simplify the numerator.

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Step 4.2.1.1.1

To write $- 11$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$y = - \frac{7 (\frac{154}{13} - 11 \cdot \frac{13}{13})}{10}$

$x = \frac{154}{13}$

Step 4.2.1.1.2

Combine $- 11$ and $\frac{13}{13}$ .

$y = - \frac{7 (\frac{154}{13} + \frac{- 11 \cdot 13}{13})}{10}$

$x = \frac{154}{13}$

Step 4.2.1.1.3

Combine the numerators over the common denominator.

$y = - \frac{7 (\frac{154 - 11 \cdot 13}{13})}{10}$

$x = \frac{154}{13}$

Step 4.2.1.1.4

Simplify the numerator.

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Step 4.2.1.1.4.1

Multiply $- 11$ by $13$ .

$y = - \frac{7 (\frac{154 - 143}{13})}{10}$

$x = \frac{154}{13}$

Step 4.2.1.1.4.2

Subtract $143$ from $154$ .

$y = - \frac{7 (\frac{11}{13})}{10}$

$x = \frac{154}{13}$

$y = - \frac{7 (\frac{11}{13})}{10}$

$x = \frac{154}{13}$

$y = - \frac{7 (\frac{11}{13})}{10}$

$x = \frac{154}{13}$

Step 4.2.1.2

Combine fractions.

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Step 4.2.1.2.1

Combine $7$ and $\frac{11}{13}$ .

$y = - \frac{\frac{7 \cdot 11}{13}}{10}$

$x = \frac{154}{13}$

Step 4.2.1.2.2

Multiply $7$ by $11$ .

$y = - \frac{\frac{77}{13}}{10}$

$x = \frac{154}{13}$

$y = - \frac{\frac{77}{13}}{10}$

$x = \frac{154}{13}$

Step 4.2.1.3

Multiply the numerator by the reciprocal of the denominator.

$y = - (\frac{77}{13} \cdot \frac{1}{10})$

$x = \frac{154}{13}$

Step 4.2.1.4

Multiply $\frac{77}{13} \cdot \frac{1}{10}$ .

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Step 4.2.1.4.1

Multiply $\frac{77}{13}$ by $\frac{1}{10}$ .

$y = - \frac{77}{13 \cdot 10}$

$x = \frac{154}{13}$

Step 4.2.1.4.2

Multiply $13$ by $10$ .

$y = - \frac{77}{130}$

$x = \frac{154}{13}$

$y = - \frac{77}{130}$

$x = \frac{154}{13}$

$y = - \frac{77}{130}$

$x = \frac{154}{13}$

$y = - \frac{77}{130}$

$x = \frac{154}{13}$

$y = - \frac{77}{130}$

$x = \frac{154}{13}$

Step 5

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

$(\frac{154}{13}, - \frac{77}{130})$

Step 6

The result can be shown in multiple forms.

Point Form:

$(\frac{154}{13}, - \frac{77}{130})$

Equation Form:

$x = \frac{154}{13}, y = - \frac{77}{130}$

Step 7