Algebra homework

Question

How many solutions does the following system have?

y=-16x+86

y=-2x^2+12x-14

A. No solution

B. One solution

C. Infinite solutions

D. Two solutions.

Answer 1

Similar to your other problem.

2x² + 12x - 14 = 16x + 86

2x² - 4x - 100 = 0

x² - 2x - 50 = 0

Use the quadratic formula, get 2 non-zero solutions from the +/- sqrt