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

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

Step 1

Subtract $3 x$ from both sides of the equation.

$2 y = 96 - 3 x$

$y = x + 7$

Step 2

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

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

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

$y = x + 7$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

$y = x + 7$

Divide $y$ by $1$ .

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

$y = x + 7$

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

$y = x + 7$

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

$y = x + 7$

Simplify the right side.

Simplify each term.

Divide $96$ by $2$ .

$y = 48 + \frac{- 3 x}{2}$

$y = x + 7$

Move the negative in front of the fraction.

$y = 48 - \frac{3 x}{2}$

$y = x + 7$

$y = 48 - \frac{3 x}{2}$

$y = x + 7$

$y = 48 - \frac{3 x}{2}$

$y = x + 7$

$y = 48 - \frac{3 x}{2}$

$y = x + 7$

Step 3

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

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

Step 4