Solve by Graphing x+2y=4 y=-1/2x+2

$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$

Step 1

Subtract $x$ from both sides of the equation.

$2 y = 4 - x$

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

Step 2

Divide each term in $2 y = 4 - x$ by $2$ and simplify.

Divide each term in $2 y = 4 - x$ by $2$ .

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

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

Divide $y$ by $1$ .

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

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

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

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

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

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

Simplify the right side.

Simplify each term.

Divide $4$ by $2$ .

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

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

Move the negative in front of the fraction.

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

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

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

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

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

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

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

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

Step 3

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

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

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

Step 4

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

$x = 4 - 2 y$

Step 5