[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

4415 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the equation 10x + 4 = 12x + 2


simplify fully: (x^2+x-6)/(x^2-7x+10)


The area of this rectangle is 56 cm2 length = 3k+2 and width = 7 - Find the value of k


10 The table gives information about the heights of 50 trees. Height (h metres) Frequency 0 < h - 4 ,8, 4 < h - 8 ,21, 8 < h - 12, 12, 12 < h - 16, 7, 16 < h - 20, 2. Work out an estimate for the mean height of the trees.


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