Question

find all of the solutions.
system: {y = -1/2x^2
y = 3/4x-5

Answer 1

you can subtract the two equations here, so you dont have to isolate anything
0=1/2x^2+3/4x-5
now apply the quadratic formula a=1/2, b=3/4, c=-5
after solving, you get x=-4 or x =5/2
now plug those in the last equation (its simpler since no squaring)
y=-3-5=-8 or y=15/8-5=-25/8
the solution space is then (-4,-8),(5/2,-25/8)

Answer 2

So all of the solutions are (-4,-8), (5/2, -25/8)? How would you graph that on an axis? :) Thank you!

Answer 3

@P0sitr0n

Answer 4

as two points