Solve the system of equations y=-2x y=x2-8

Step-by-step explanation:

Make both equations equal to each other and solve for x:

Factor the quadratic equation. You need to find two number that when you add them you get 2 and when you multiply them you get -8.

These numbers are 4 and -2. Then:

Substitute the values of x calculated, into any of the original equations. Then:

For this case we must solve the following system of equations:

Matching we have:

The solution will be given by:

Substituting:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743