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

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

Step 1

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{1}{2} y) = - 2 (x - 1)$

$y = - 2 x + 2$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{1}{2} y)$ .

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

$- 2 (- \frac{y}{2}) = - 2 (x - 1)$

$y = - 2 x + 2$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{y}{2}$ into the numerator.

$- 2 \frac{- y}{2} = - 2 (x - 1)$

$y = - 2 x + 2$

Factor $2$ out of $- 2$ .

$2 (- 1) (\frac{- y}{2}) = - 2 (x - 1)$

$y = - 2 x + 2$

Cancel the common factor.

$2 \cdot (- 1 \frac{- y}{2}) = - 2 (x - 1)$

$y = - 2 x + 2$

Rewrite the expression.

$y = - 2 (x - 1)$

$y = - 2 x + 2$

$y = - 2 (x - 1)$

$y = - 2 x + 2$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 2 (x - 1)$

$y = - 2 x + 2$

Multiply $y$ by $1$ .

$y = - 2 (x - 1)$

$y = - 2 x + 2$

$y = - 2 (x - 1)$

$y = - 2 x + 2$

$y = - 2 (x - 1)$

$y = - 2 x + 2$

$y = - 2 (x - 1)$

$y = - 2 x + 2$

Simplify the right side.

Simplify $- 2 (x - 1)$ .

Apply the distributive property.

$y = - 2 x - 2 \cdot - 1$

$y = - 2 x + 2$

Multiply $- 2$ by $- 1$ .

$y = - 2 x + 2$

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.

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

Step 5

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

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