Write in y=mx+b Form 9-(2y+2x)=5(x-y)

$9 - (2 y + 2 x) = 5 (x - y)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify each term.

Apply the distributive property.

$9 - (2 y) - (2 x) = 5 (x - y)$

Multiply $2$ by $- 1$ .

$9 - 2 y - (2 x) = 5 (x - y)$

Multiply $2$ by $- 1$ .

$9 - 2 y - 2 x = 5 (x - y)$

Simplify the right side.

Simplify $5 (x - y)$ .

Apply the distributive property.

$9 - 2 y - 2 x = 5 x + 5 (- y)$

Multiply $- 1$ by $5$ .

$9 - 2 y - 2 x = 5 x - 5 y$

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

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

$9 - 2 y - 2 x + 5 y = 5 x$

Add $- 2 y$ and $5 y$ .

$9 - 2 x + 3 y = 5 x$

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

Subtract $9$ from both sides of the equation.

$- 2 x + 3 y = 5 x - 9$

Add $2 x$ to both sides of the equation.

$3 y = 5 x - 9 + 2 x$

Add $5 x$ and $2 x$ .

$3 y = 7 x - 9$

Divide each term in $3 y = 7 x - 9$ by $3$ and simplify.

Divide each term in $3 y = 7 x - 9$ by $3$ .

$\frac{3 y}{3} = \frac{7 x}{3} + \frac{- 9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{7 x}{3} + \frac{- 9}{3}$

Divide $y$ by $1$ .

$y = \frac{7 x}{3} + \frac{- 9}{3}$

Simplify the right side.

Divide $- 9$ by $3$ .

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

Reorder terms.

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

Write in y=mx+b Form 9-(2y+2x)=5(x-y)

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