Question

Use a graphing tool to solve the system.

{3x−2y=2x−y=2

Which ordered pair is the solution to the system?



Responses

a (0, −2)
a (0, −2)

b (−2, −4)
b (−2, −4)

c (2, 4)
c (2, 4)

d (−4, −2)

Answer 1

Interpret the system as
3x − 2y = 2
x − y = 2

From x − y = 2, x = y + 2. Substitute into the first:
3(y+2) − 2y = 2 → 3y + 6 − 2y = 2 → y = −4. Then x = −4 + 2 = −2.

Solution: (−2, −4) — choice b.