[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

4656 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

rearrange c=(4-d)/(d+3)


Find the solutions to this quadratic equation: 0 = 2x^2 - 5x - 3


Bag A contains £7.20 in 20p coins. Bag B contains only 5p coins. The number of coins in bag B is three-quarters of the number of coins in bag A. How much money is in bag B?


Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8


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