Y = - 1/3x + 2

y = x + 2

What is the solution to the system of equations?

A) (0, 2)

B) (2, 0)

C) (-1, 3)

D) (0, - 2)

The solution is (0, 2).

Step-by-step explanation:

Here we have two different equations for y. Equate them to eliminate y. Solve the resulting equation for x:

y = - 1/3x + 2 = y = x + 2

Simplifying, we get (-1/3) x = x, and so x must be 0.

Then, using the second equation, we find that y = 0 + 2 = 2.

The solution is (0, 2).