Solve the system of equations.

I will choose the method of substitution, i.e., solve for one of the variables in the second equation and substitute it into the first equation.
I didn't use the elimination method because the variables are squared in the first equation and not in the second.
Substituting y into the first equation:

Operating:

Simplifying:

Dividing by -28 and simplifying:

Substituting:

Operating:

Answer: x = 24/7 , y = 74/7