Solve by Graphing y=-x+6 y=-3/2x+9

$y = - x + 6$ $y = - \frac{3}{2} x + 9$

Step 1

Simplify each term.

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

$y = - \frac{x \cdot 3}{2} + 9$

$y = - x + 6$

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{2} + 9$

$y = - x + 6$

$y = - \frac{3 x}{2} + 9$

$y = - x + 6$

Step 2

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

$(6, 0)$

Step 3