Solve by Graphing x-5y=-5 x+5y=15

$x - 5 y = - 5$ $x + 5 y = 15$

Step 1

Subtract $x$ from both sides of the equation.

$- 5 y = - 5 - x$

$x + 5 y = 15$

Step 2

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

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

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

$x + 5 y = 15$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

$x + 5 y = 15$

Divide $y$ by $1$ .

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

$x + 5 y = 15$

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

$x + 5 y = 15$

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

$x + 5 y = 15$

Simplify the right side.

Simplify each term.

Divide $- 5$ by $- 5$ .

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

$x + 5 y = 15$

Dividing two negative values results in a positive value.

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

$x + 5 y = 15$

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

$x + 5 y = 15$

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

$x + 5 y = 15$

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

$x + 5 y = 15$

Step 3

Subtract $x$ from both sides of the equation.

$5 y = 15 - x$

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

Step 4

Divide each term in $5 y = 15 - x$ by $5$ and simplify.

Divide each term in $5 y = 15 - x$ by $5$ .

$\frac{5 y}{5} = \frac{15}{5} + \frac{- x}{5}$

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{15}{5} + \frac{- x}{5}$

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

Divide $y$ by $1$ .

$y = \frac{15}{5} + \frac{- x}{5}$

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

$y = \frac{15}{5} + \frac{- x}{5}$

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

$y = \frac{15}{5} + \frac{- x}{5}$

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

Simplify the right side.

Simplify each term.

Divide $15$ by $5$ .

$y = 3 + \frac{- x}{5}$

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

Move the negative in front of the fraction.

$y = 3 - \frac{x}{5}$

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

$y = 3 - \frac{x}{5}$

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

$y = 3 - \frac{x}{5}$

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

$y = 3 - \frac{x}{5}$

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

Step 5

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

$(5, 2)$

Step 6

Solve by Graphing x-5y=-5 x+5y=15

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