Solve by Graphing x=-2 3x-2y=-18

$x = - 2$ $3 x - 2 y = - 18$

Step 1

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

$- 2 y = - 18 - 3 x$

$x = - 2$

Step 2

Divide each term in $- 2 y = - 18 - 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 18 - 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 18}{- 2} + \frac{- 3 x}{- 2}$

$x = - 2$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 18}{- 2} + \frac{- 3 x}{- 2}$

$x = - 2$

Divide $y$ by $1$ .

$y = \frac{- 18}{- 2} + \frac{- 3 x}{- 2}$

$x = - 2$

$y = \frac{- 18}{- 2} + \frac{- 3 x}{- 2}$

$x = - 2$

$y = \frac{- 18}{- 2} + \frac{- 3 x}{- 2}$

$x = - 2$

Simplify the right side.

Simplify each term.

Divide $- 18$ by $- 2$ .

$y = 9 + \frac{- 3 x}{- 2}$

$x = - 2$

Dividing two negative values results in a positive value.

$y = 9 + \frac{3 x}{2}$

$x = - 2$

$y = 9 + \frac{3 x}{2}$

$x = - 2$

$y = 9 + \frac{3 x}{2}$

$x = - 2$

$y = 9 + \frac{3 x}{2}$

$x = - 2$

Step 3

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

$(- 2, 6)$

Step 4