Question

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x - 40? Determine the solution set algebraically. O (-5, -80) (5,0) O (5,0) and (-5, -80) O no solutions​

Answer 1

(5, 0)

Explanation:

Se the equations equal

x² - 2x - 15 = 8x - 40

Subtract 8x from both sides

x² - 10x - 15 = -40

add 40 to both sides

x² - 10x + 25 = 0

Factor

(x - 5)(x - 5) = 0

x = 5

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plug in x = 5 into

y = 8x - 40

y = 8(5)- 40

y = 0

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Solution

(5, 0)