Solve the system by Elimination

Question

−3x2+y=−18x+29

−3x2−y=18x−25

Answer 1

−3x² + y = −18x + 29

−3x² − y = 18x − 25

Adding the two equations

-6x² = 4

x² = -2/3

No real solution exists.

Answer 2

I used a graphing calculator to study these two quadratics in x. They do not intersect , so there is no solution in terms or real numbers.

Simply adding them results in - 6 x² = 4 which leads to a complex result for x.

The two complex results for x ± √2/3 i

can be plugged back into one of the equations to get a result for y.