Question

What is the solution to the following system of equations?
y = x^2 + 5x + 3
y = x^2 + 3x – 3


A. (–3, 3)

B. (5, 3)

C. (5, –3)

D. (–3, –3)

Answer 1

multiplie second equation by -1 and assum to first equations and will get

y=x^2 +5x +3
-y=-x^2-3x +3
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0=0 + 2x +6
0=2x+6
2x=-6
x=-6/2
x=-3

y=x^2 +3x -3
y=(-3)^2 +3(-3) -3
y=9 -9 -3
y=-3

(-3,-3) so D. is the right answer