Question

Which ordered pair is the best estimate for the solution of the system of equations?

y=−12x+4y=12x−3

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Responses

a (7, 0)
a Begin ordered pair 7 comma 0 end ordered pair.

b (7.5, 0.5)
b Begin ordered pair 7.5 comma 0.5 end ordered pair.

c (7, 1)
c Begin ordered pair 7 comma 1 end ordered pair.

d (7, 0.5)

Answer 1

The system is y = −(1/2)x + 4 and y = (1/2)x − 3. Set equal:
−(1/2)x + 4 = (1/2)x − 3
4 + 3 = x
x = 7
y = (1/2)(7) − 3 = 3.5 − 3 = 0.5

So the solution is (7, 0.5) — choice d.