Solve by Graphing x=y+7 , 3y+2x=96

$x = y + 7$ , $3 y + 2 x = 96$

Step 1

Rewrite the equation as $y + 7 = x$ .

$y + 7 = x$

$3 y + 2 x = 96$

Step 2

Subtract $7$ from both sides of the equation.

$y = x - 7$

$3 y + 2 x = 96$

Step 3

Subtract $2 x$ from both sides of the equation.

$3 y = 96 - 2 x$

$y = x - 7$

Step 4

Divide each term in $3 y = 96 - 2 x$ by $3$ and simplify.

Divide each term in $3 y = 96 - 2 x$ by $3$ .

$\frac{3 y}{3} = \frac{96}{3} + \frac{- 2 x}{3}$

$y = x - 7$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{96}{3} + \frac{- 2 x}{3}$

$y = x - 7$

Divide $y$ by $1$ .

$y = \frac{96}{3} + \frac{- 2 x}{3}$

$y = x - 7$

$y = \frac{96}{3} + \frac{- 2 x}{3}$

$y = x - 7$

$y = \frac{96}{3} + \frac{- 2 x}{3}$

$y = x - 7$

Simplify the right side.

Simplify each term.

Divide $96$ by $3$ .

$y = 32 + \frac{- 2 x}{3}$

$y = x - 7$

Move the negative in front of the fraction.

$y = 32 - \frac{2 x}{3}$

$y = x - 7$

$y = 32 - \frac{2 x}{3}$

$y = x - 7$

$y = 32 - \frac{2 x}{3}$

$y = x - 7$

$y = 32 - \frac{2 x}{3}$

$y = x - 7$

Step 5

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(\frac{117}{5}, \frac{82}{5})$

Step 6

Solve by Graphing x=y+7 , 3y+2x=96

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