Question

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

Answer 1

Answer:

Therefore, the value of x is 5.

Step-by-step explanation:

We can match each equation to find the solutions.

$8x-40=x^{2}-2x-15$

$0=x^{2}-2x-8x-15+40$

$x^{2}-10x+25=0$

Now, we need solve this quadratic equation.

$(x-5)^{2}=0$

Therefore, the value of x is 5.

I hope it helps you!