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

Therefore, the value of x is 5.

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!