is (8x - 20y = -40) (-2x + 5y = 30) a soultion

Use the following functions to solve. f(x) = x2 + x + 1; g(x) = 5 - 2x; h(x) = -x2 Solve f(g(-1))

A solution for what?

If you multiply both sides of the second equation by 4 and add the two subsequent equations, the x and y terms cancel out.

To determine if the given system of equations is a solution, we need to substitute the values of x and y from one equation into the other equation and check if both equations are satisfied.

Let's solve the first equation for x:
8x - 20y = -40
8x = 20y - 40
x = (20y - 40) / 8
x = 2.5y - 5 (Equation 1)

Now, let's substitute this value of x into the second equation:
(-2x + 5y) = 30
-2(2.5y - 5) + 5y = 30
-5y + 10 + 5y = 30
10 = 30

As we can see, the equation -5y + 10 + 5y = 30 leads to a contradiction (10 = 30), which means that the given system of equations does not have a solution.