Solve by Graphing 2x-y=5 x+y=-2

$2 x - y = 5$ $x + y = - 2$

Step 1

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

$- y = 5 - 2 x$

$x + y = - 2$

Step 2

Divide each term in $- y = 5 - 2 x$ by $- 1$ and simplify.

Divide each term in $- y = 5 - 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5}{- 1} + \frac{- 2 x}{- 1}$

$x + y = - 2$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5}{- 1} + \frac{- 2 x}{- 1}$

$x + y = - 2$

Divide $y$ by $1$ .

$y = \frac{5}{- 1} + \frac{- 2 x}{- 1}$

$x + y = - 2$

$y = \frac{5}{- 1} + \frac{- 2 x}{- 1}$

$x + y = - 2$

Simplify the right side.

Simplify each term.

Divide $5$ by $- 1$ .

$y = - 5 + \frac{- 2 x}{- 1}$

$x + y = - 2$

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

$y = - 5 - 1 \cdot (- 2 x)$

$x + y = - 2$

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

$y = - 5 - (- 2 x)$

$x + y = - 2$

Multiply $- 2$ by $- 1$ .

$y = - 5 + 2 x$

$x + y = - 2$

$y = - 5 + 2 x$

$x + y = - 2$

$y = - 5 + 2 x$

$x + y = - 2$

$y = - 5 + 2 x$

$x + y = - 2$

Step 3

Subtract $x$ from both sides of the equation.

$y = - 2 - x$

$y = - 5 + 2 x$

Step 4

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

$(1, - 3)$

Step 5

Solve by Graphing 2x-y=5 x+y=-2

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