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

Question

Mathematics

Coby Casey

14 January, 15:40

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

+3

Answers (1)

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Derrick · Answer 1

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.