Question

What are the x-coordinates of the solutions to this system of equations?. x2 + y2 = 100. y = x + 2. Select one:. a. 2 and 10. b. 10 and -2. c. 6 and -8. d. 6 and 8

Answer 1

Answer:just took the test it’s C

Explanation:

Answer 2

To answer, substitute the value of y in the second equation to that of the first.
x² + (x + 2)² = 100
Simplification leads to,
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100
x² + 2x - 48 = 0
The roots of this equation are x = 6 and x = -8. Thus, the answer is letter C.