Solve by Graphing y=-1/3x+2 y=-2/3x+4

$y = - \frac{1}{3} x + 2$ $y = - \frac{2}{3} x + 4$

Step 1

Combine $x$ and $\frac{1}{3}$ .

$y = - \frac{x}{3} + 2$

$y = - \frac{2}{3} x + 4$

Step 2

Simplify each term.

Combine $x$ and $\frac{2}{3}$ .

$y = - \frac{x \cdot 2}{3} + 4$

$y = - \frac{x}{3} + 2$

Move $2$ to the left of $x$ .

$y = - \frac{2 x}{3} + 4$

$y = - \frac{x}{3} + 2$

$y = - \frac{2 x}{3} + 4$

$y = - \frac{x}{3} + 2$

Step 3

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

$(6, 0)$

Step 4