Solve by Graphing x-2y=-8 y=5/2x

$x - 2 y = - 8$ $y = \frac{5}{2} x$

Step 1

Subtract $x$ from both sides of the equation.

$- 2 y = - 8 - x$

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

Step 2

Divide each term in $- 2 y = - 8 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 8 - x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 8}{- 2} + \frac{- x}{- 2}$

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 8}{- 2} + \frac{- x}{- 2}$

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

Divide $y$ by $1$ .

$y = \frac{- 8}{- 2} + \frac{- x}{- 2}$

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

$y = \frac{- 8}{- 2} + \frac{- x}{- 2}$

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

$y = \frac{- 8}{- 2} + \frac{- x}{- 2}$

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

Simplify the right side.

Simplify each term.

Divide $- 8$ by $- 2$ .

$y = 4 + \frac{- x}{- 2}$

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

Dividing two negative values results in a positive value.

$y = 4 + \frac{x}{2}$

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

$y = 4 + \frac{x}{2}$

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

$y = 4 + \frac{x}{2}$

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

$y = 4 + \frac{x}{2}$

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

Step 3

Combine $\frac{5}{2}$ and $x$ .

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

$y = 4 + \frac{x}{2}$

Step 4

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

$(2, 5)$

Step 5