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

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

Step 1

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

$- y = - 2 + 2 x$

$3 x - y = - 2$

Step 2

Divide each term in $- y = - 2 + 2 x$ by $- 1$ and simplify.

Divide each term in $- y = - 2 + 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2}{- 1} + \frac{2 x}{- 1}$

$3 x - y = - 2$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2}{- 1} + \frac{2 x}{- 1}$

$3 x - y = - 2$

Divide $y$ by $1$ .

$y = \frac{- 2}{- 1} + \frac{2 x}{- 1}$

$3 x - y = - 2$

$y = \frac{- 2}{- 1} + \frac{2 x}{- 1}$

$3 x - y = - 2$

Simplify the right side.

Simplify each term.

Divide $- 2$ by $- 1$ .

$y = 2 + \frac{2 x}{- 1}$

$3 x - y = - 2$

Move the negative one from the denominator of $\frac{2 x}{- 1}$ .

$y = 2 - 1 \cdot (2 x)$

$3 x - y = - 2$

Rewrite $- 1 \cdot (2 x)$ as $- (2 x)$ .

$y = 2 - (2 x)$

$3 x - y = - 2$

Multiply $2$ by $- 1$ .

$y = 2 - 2 x$

$3 x - y = - 2$

$y = 2 - 2 x$

$3 x - y = - 2$

$y = 2 - 2 x$

$3 x - y = - 2$

$y = 2 - 2 x$

$3 x - y = - 2$

Step 3

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

$- y = - 2 - 3 x$

$y = 2 - 2 x$

Step 4

Divide each term in $- y = - 2 - 3 x$ by $- 1$ and simplify.

Divide each term in $- y = - 2 - 3 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

$y = 2 - 2 x$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

$y = 2 - 2 x$

Divide $y$ by $1$ .

$y = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

$y = 2 - 2 x$

$y = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

$y = 2 - 2 x$

Simplify the right side.

Simplify each term.

Divide $- 2$ by $- 1$ .

$y = 2 + \frac{- 3 x}{- 1}$

$y = 2 - 2 x$

Move the negative one from the denominator of $\frac{- 3 x}{- 1}$ .

$y = 2 - 1 \cdot (- 3 x)$

$y = 2 - 2 x$

Rewrite $- 1 \cdot (- 3 x)$ as $- (- 3 x)$ .

$y = 2 - (- 3 x)$

$y = 2 - 2 x$

Multiply $- 3$ by $- 1$ .

$y = 2 + 3 x$

$y = 2 - 2 x$

$y = 2 + 3 x$

$y = 2 - 2 x$

$y = 2 + 3 x$

$y = 2 - 2 x$

$y = 2 + 3 x$

$y = 2 - 2 x$

Step 5

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

$(0, 2)$

Step 6

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

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