Graph the two linear equations shown below ok a coordinate plane. at which coordinate point do they intersect?

-2x + 3y = 18
2x + 3y = 6

1 answer

The two linear equations can be graphed on a coordinate plane as lines.

Equation 1: -2x + 3y = 18
Converting to slope-intercept form:
3y = 2x + 18
y = (2/3)x + 6

Equation 2: 2x + 3y = 6
Converting to slope-intercept form:
3y = -2x + 6
y = (-2/3)x + 2

Now, let's graph the two lines on a coordinate plane:

The point of intersection is (4, 8).