Solve by Graphing 4x+y=-1 3x+2y=8

$4 x + y = - 1$ $3 x + 2 y = 8$

Step 1

Subtract $4 x$ from both sides of the equation.

$y = - 1 - 4 x$

$3 x + 2 y = 8$

Step 2

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

$2 y = 8 - 3 x$

$y = - 1 - 4 x$

Step 3

Divide each term in $2 y = 8 - 3 x$ by $2$ and simplify.

Divide each term in $2 y = 8 - 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

Divide $y$ by $1$ .

$y = \frac{8}{2} + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

$y = \frac{8}{2} + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

$y = \frac{8}{2} + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

Simplify the right side.

Simplify each term.

Divide $8$ by $2$ .

$y = 4 + \frac{- 3 x}{2}$

$y = - 1 - 4 x$

Move the negative in front of the fraction.

$y = 4 - \frac{3 x}{2}$

$y = - 1 - 4 x$

$y = 4 - \frac{3 x}{2}$

$y = - 1 - 4 x$

$y = 4 - \frac{3 x}{2}$

$y = - 1 - 4 x$

$y = 4 - \frac{3 x}{2}$

$y = - 1 - 4 x$

Step 4

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

$(- 2, 7)$

Step 5