Question

Solve.


{4x+y=53x+y=3

Use the linear combination method.

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Responses

a (2, −3)
a Begin ordered pair 2 comma negative 3 end ordered pair.

b (0, −3)
b Begin ordered pair 0 comma negative 3 end ordered pair.

c (0, 5)
c Begin ordered pair 0 comma 5 end ordered pair.

d (−3, 7)
d Begin ordered pair negative 3 comma 7 end ordered pair.

Answer 1

The system is
4x + y = 5
3x + y = 3

Subtract the second equation from the first to eliminate y:
(4x + y) − (3x + y) = 5 − 3 → x = 2.

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

Solution: (2, −3). (Choice a)