Solve the following system of equations and show all work.

y = 2x2

y = - 3x - 1

Hello there.

Solve the following system of equations and show all work.

y = 2x2

y = - 3x - 1

y2 = 2

We can solve these equations by using substitution method where you substitute one equation to the other and solve for the value of the other variable. We do as follows:

y = 2x^2

y = - 3x - 1

2x^2 = - 3x - 1

2x^2 + 3x + 1 = 0

x1 = - 0.5

x2 = - 1

y1 = 0.5

y2 = 2