Solve by Graphing y=-1/3x+2 -3y=x-6

$y = - \frac{1}{3} x + 2$ $- 3 y = x - 6$

Step 1

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

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

$- 3 y = x - 6$

Step 2

Divide each term in $- 3 y = x - 6$ by $- 3$ and simplify.

Divide each term in $- 3 y = x - 6$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{x}{- 3} + \frac{- 6}{- 3}$

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{x}{- 3} + \frac{- 6}{- 3}$

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

Divide $y$ by $1$ .

$y = \frac{x}{- 3} + \frac{- 6}{- 3}$

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

$y = \frac{x}{- 3} + \frac{- 6}{- 3}$

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

$y = \frac{x}{- 3} + \frac{- 6}{- 3}$

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{x}{3} + \frac{- 6}{- 3}$

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

Divide $- 6$ by $- 3$ .

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

Step 3

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

Step 4

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

$y = - \frac{1}{3} x + 2, - 3 y = x - 6$

Step 5