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

Given the system of equation:

         .....[1]

                ......[2]

Equate these two equations we get;

Subtract 8x to both sides we have;

Add 40 to both sides we have;

Using the identity rule:

then;

⇒

Add 5 to both sides we have;

x = 5

Substitute this value in [2] we have;

y=8(5)-40 = 40-40 = 0

therefore, the solution(s) of the system of equations is, (5, 0)

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step-by-step explanation:

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