[equ1] 3y − 6x = 3 [equ2] y y x 2 − x + 2 2 = 2

Firstly start by rearranging [equ1] to get y = 2x + 1 . Then substitute this result into [equ2] this will give you (2x + 1) (2x ) x . Simplify the equation and subtract two from both sides to 2 − x + 1 + 2 2 = 2 get an ordinary quadratic equation 4x x . Following on from this utilise the quadratic 2 + 3 − 1 = 0 formula x = . After using this equation the values for are . Then use the 2a −b±√b −4ac 2 x x =− 1, x = 4 1 rearranged form of [equ1] to find the values of y . Which, after evaluation, are y =− 1, y = 2

AS
Answered by Alistair S. Maths tutor

4486 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that the composite function fg(2)=-26 where f(x)=3x+1 and g(x)=1-5x


What is red shift?


Simplify √ 12 + √ 75


A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning