What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3) and (−3, −7) (3, 11) and (−7, −3) no real solutions

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:



and



or



We equate the two equations to obtain,



We rewrite in standard quadratic form to obtain,



This simplifies to



We solve for x to obtain,









When




When x=-3,



Therefore the solution for the system is (3, 11) and (−3, −7).