Question

Solve the system of equations

y=2x^2-3
y=3x-1

No solution
(-1/2,5), (2,-5/2)
(-1/2,-5/2), (2,5)
(1/2,5/2), (2,5)

Answer 1

the unique solution is (-1/2,-5/2), (2,5),
y=2x^2-3, it can be prooved as

-5/2= 2(-1/2)^2-3, so it is (-1/2,-5/2)
y=3x-1
5=3x2-1,so it is (2,5),