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AS level Maths (pure) - HELP ME wtf is this question

So, doing non linear simultaneous equations, if anyone can offer some step by step help that would be really appreciated,

The question is to simultaneously solve: (^2 = squared)

x^2 +8y=13
x+2y=2

I know what the answer is but how do i get there? ( Answer is:

x=-1
x=5
y=3/2
y=-3/2

Please can you help me with the method (Preferably in the simplest way using substitution method) Thank you y'all are angels...if you help me lol

Reply 1

mqb2766

It basically just/similar to a line intersecting a circle/parabola (so you did this at gcse) so get 8y from the second equation in terms of x and substitute into the first and solve the quadratic to get x's, then ...

(edited 1 year ago)

Reply 2

mkr_08

Make the second equation equal to x so x=2-2y then substitute this into the quadratic so (2-2y)^2+8y=13 solve that quadratic normally to find the y values then substitute those into x=2-2y to find your 2 X values.