Question

The solution of 2x2 + x = 3 is shown below.

2x2 + x – 3 = 0

(2x + 3)(x – 1) = 0

x = –1.5 or x = 1

Based on this work, the solution of the system of equations is
.

Answer 1

If the system is
y = 2x^2 + x
y = 3
then 2x^2 + x = 3 gives x = −3/2 or x = 1. So the solutions are (−3/2, 3) and (1, 3).