Question

The x-coordinate of the intersection of the graphs of the system of equations shown below is 3.

{
2
x
+
y
=
3
−
x
+
3
y
=
−
12

What is the y-coordinate of the intersection?

A.
–5

B.
0

C.
3

D.
–3

Answer 1

Plug x = 3 into 2x + y = 3:
2(3) + y = 3 → 6 + y = 3 → y = −3.

(Check: −x + 3y = −3 + 3(−3) = −3 − 9 = −12.)

Answer: D. −3