y = -x + 6

y = 3x -2

1 answer

To find the point of intersection between the two equations, we can set them equal to each other:

-x + 6 = 3x - 2

Simplifying the equation:

4x = 8

Dividing both sides by 4:

x = 2

Now, substitute this value back into one of the original equations to find the corresponding y-value. Let's use the first equation:

y = -x + 6
y = -(2) + 6
y = 4

So, the point of intersection is (2, 4).