What is the solution set for this linear-quadratic system of equations?

y = x2 − x − 12
y − x − 3 = 0

A. {(-3, 0), (0, 3)}
B. {(-3, 0), (4, 0)}
C. {(-3, 0), (5, 8)}
D. {(4, 0), (0, 3)}

Question

What is the solution set for this linear-quadratic system of equations?

y = x2 − x − 12
y − x − 3 = 0

A. {(-3, 0), (0, 3)}
B. {(-3, 0), (4, 0)}
C. {(-3, 0), (5, 8)}
D. {(4, 0), (0, 3)}

pandemonium · Answer

@mathmate

pandemonium · Answer

@mathmate

mathmate · Answer

Start with step 1, read, understand the question, and write down a summary of the given and solution required.

mathmate · Answer

Start with step 1, read, understand the question, and write down a summary of the given and solution required.  Rearrange the equations to a convenient form if necessary.

pandemonium · Answer

ok is this like a plug-in situation or just what best fits?

mathmate · Answer

Yes, you can plug in all cases and find the right solution.
However, remember that in real life, and also in higher math studies, you will not be given 4 choices.  So all the "speed solve" techniques do not help you understand math.  But it's a choice people have to make.

anonymous · Answer

x^2; y=−0.166667x−0.25

pandemonium · Answer

oh ok and do i plug-in on the first one, second one or both?