Solve the system:  y = x2 – 7,  y =  x - 7Question 28Select one:a.x = 0b.(0, -1)c.(0, -7)d.(0, -7) and (1, -6)e.None of these

To solve the system of equations, we need to set the two equations equal to each other because they both equal y.

So, we have:

x^2 - 7 = x - 7

To solve for x, we need to rearrange the equation. We can do this by subtracting x from both sides and adding 7 to both sides to get:

x^2 - x = 0

This is a quadratic equation, and we can factor it to solve for x. The factored form of the equation is:

x(x - 1) = 0

Setting each factor equal to zero gives the solutions x = 0 and x = 1.

We can then substitute these values back into either of the original equations to solve for y. If we substitute into y = x - 7, we get:

For x = 0, y = 0 - 7 = -7 For x = 1, y = 1 - 7 = -6

So, the solutions to the system of equations are (0, -7) and (1, -6), which corresponds to option d.