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).

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step-by-step explanation: