Algebra homework

Question

How many solutions does the following system have?

y=2x^2-20+55

y=2x^2-12+15

A. Infinite solutions

B. No solution

C. One solution

D. Two solutions

Answer 1

I'm assuming the proper equations would have -20x and -12x. As written above, you would combine the constants and have 35 and 3, which would make them inconsistent and choice B would be correct.

Otherwise, set the equations = to each other with the x terms, cancel the 2x² terms, and get

-20x + 55 = -12x + 15.

8x = 40

x = 5

So choice C works.