Solve by Graphing y=-1/2x+1 -2y=x-2

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

Step 1

Combine $x$ and $\frac{1}{2}$ .

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

$- 2 y = x - 2$

Step 2

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

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

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

Divide $y$ by $1$ .

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

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

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

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

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

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

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

Divide $- 2$ by $- 2$ .

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

Step 3

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

Step 4

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

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

Step 5