Question

Y = -2x + 2
y = -3x + 3

Answer 1

(1,0)

Explanation:

y = -2x + 2

y = -3x + 3

We can set the two equations equal to each other since both = y

-2x + 2 = -3x + 3

==> add 3x to both sides

x + 2 = 3

==> subtract 2 from both sides

x = 1

To find the value of we can plug the value of x into one of the equations and solve for y

y = -2x + 2

==> plug in x = 1

y = -2(1) + 2

==> multiply -2 and 1

y = -2 + 2

==> simplify

y = 0

So we have x = 1 and y = 0

This means the solution would be (1,0)

We can also check our answer by graphing

The point of intersection of the two equations when graphed (which is the solution) is indeed (1,0)