Solve by Graphing x=17-4y y=x-2

$x = 17 - 4 y$ $y = x - 2$

Rewrite the equation as $17 - 4 y = x$ .

$17 - 4 y = x$

$y = x - 2$

Subtract $17$ from both sides of the equation.

$- 4 y = x - 17$

$y = x - 2$

Divide each term in $- 4 y = x - 17$ by $- 4$ and simplify.

Divide each term in $- 4 y = x - 17$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{x}{- 4} + \frac{- 17}{- 4}$

$y = x - 2$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{x}{- 4} + \frac{- 17}{- 4}$

$y = x - 2$

Divide $y$ by $1$ .

$y = \frac{x}{- 4} + \frac{- 17}{- 4}$

$y = x - 2$

$y = \frac{x}{- 4} + \frac{- 17}{- 4}$

$y = x - 2$

$y = \frac{x}{- 4} + \frac{- 17}{- 4}$

$y = x - 2$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{x}{4} + \frac{- 17}{- 4}$

$y = x - 2$

Dividing two negative values results in a positive value.

$y = - \frac{x}{4} + \frac{17}{4}$

$y = x - 2$

$y = - \frac{x}{4} + \frac{17}{4}$

$y = x - 2$

$y = - \frac{x}{4} + \frac{17}{4}$

$y = x - 2$

$y = - \frac{x}{4} + \frac{17}{4}$

$y = x - 2$

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

$(5, 3)$