Question

What are the solutions on the following system?

Answer 1

2x+y = -5.  Solve this for y.  We get y = -2x - 5.  Find y^2:  4x^2 + 20x + 25.  Substitute 4x^2 + 20x + 25 for y^2 in the first equation:

x^2 + 4x^2 + 20x + 25 = 25

Then 5x^2 + 20x = 0, so that x = 0.  Subst. 0 for x in the 2nd eqn and find the value of y.  Write your solutions as shown above:  (  ,  ) and (  ,  ).