Question

Solve the following system.

y = -2x 2 + 3x - 1 and x + y = -1.

The solutions are
___________and __________

Answer 1

From the second equation y=-1-x so we can write -2x²+3x-1=-1-x.
So -2x²+4x=0, 2x(-x+2)=0, therefore x=0 or 2 and the corresponding y values are -1 and -3.
We can write the answers as ordered pairs (0,-1) and (2,-3).