Solve by Graphing -5x=5-y 2y=10x+10

$- 5 x = 5 - y$ $2 y = 10 x + 10$

Step 1

Rewrite the equation as $5 - y = - 5 x$ .

$5 - y = - 5 x$

$2 y = 10 x + 10$

Step 2

Subtract $5$ from both sides of the equation.

$- y = - 5 x - 5$

$2 y = 10 x + 10$

Step 3

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

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

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

$2 y = 10 x + 10$

Simplify the left side.

Dividing two negative values results in a positive value.

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

$2 y = 10 x + 10$

Divide $y$ by $1$ .

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

$2 y = 10 x + 10$

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

$2 y = 10 x + 10$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{- 5 x}{- 1}$ .

$y = - 1 \cdot (- 5 x) + \frac{- 5}{- 1}$

$2 y = 10 x + 10$

Rewrite $- 1 \cdot (- 5 x)$ as $- (- 5 x)$ .

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

$2 y = 10 x + 10$

Multiply $- 5$ by $- 1$ .

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

$2 y = 10 x + 10$

Divide $- 5$ by $- 1$ .

$y = 5 x + 5$

$2 y = 10 x + 10$

$y = 5 x + 5$

$2 y = 10 x + 10$

$y = 5 x + 5$

$2 y = 10 x + 10$

$y = 5 x + 5$

$2 y = 10 x + 10$

Step 4

Divide each term in $2 y = 10 x + 10$ by $2$ and simplify.

Divide each term in $2 y = 10 x + 10$ by $2$ .

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{10}{2}$

$y = 5 x + 5$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{10}{2}$

$y = 5 x + 5$

Divide $y$ by $1$ .

$y = \frac{10 x}{2} + \frac{10}{2}$

$y = 5 x + 5$

$y = \frac{10 x}{2} + \frac{10}{2}$

$y = 5 x + 5$

$y = \frac{10 x}{2} + \frac{10}{2}$

$y = 5 x + 5$

Simplify the right side.

Simplify each term.

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 x$ .

$y = \frac{2 (5 x)}{2} + \frac{10}{2}$

$y = 5 x + 5$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (5 x)}{2 (1)} + \frac{10}{2}$

$y = 5 x + 5$

Cancel the common factor.

$y = \frac{2 (5 x)}{2 \cdot 1} + \frac{10}{2}$

$y = 5 x + 5$

Rewrite the expression.

$y = \frac{5 x}{1} + \frac{10}{2}$

$y = 5 x + 5$

Divide $5 x$ by $1$ .

$y = 5 x + \frac{10}{2}$

$y = 5 x + 5$

$y = 5 x + \frac{10}{2}$

$y = 5 x + 5$

$y = 5 x + \frac{10}{2}$

$y = 5 x + 5$

Divide $10$ by $2$ .

$y = 5 x + 5$

Step 5

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

Step 6

Nothing further can be done with this topic. Please check the expression entered or try another topic.

$- 5 x = 5 - y, 2 y = 10 x + 10$

Step 7

Solve by Graphing -5x=5-y 2y=10x+10

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