Solving a system of equations symbolically

I'm doing Algebra 2 homework and I need a little help. It says :

"Solve the following system of equations symbolically :

x² + y² = 5 and y=2x+5"

I'd appreciate any help. And if anyone could actually explain or show how they found the answer, that would be great. Thanks. :)

place the y from the 2nd into the 1st to get a quadratic in x ; solve for x , then y


{ - 2 , 1 }