Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3

Equation 1: x2 + 2y = 9Equation 2: y - x = 3
Rearrange equation 2: y = 3 + x
Substitute y = 3 + x into equation 1x2 + 2(3 + x) = 9x2 + 6 + 2x = 9x2 + 2x - 3 = 0(x + 3)(x - 1) = 0so x = 1 and -3
substitute x = 1 into rearranged equation 2y = 3 + 1y = 4
substitute x = -3 into rearranged equation 2y = 3 - 3y = 0
So when x = -3, y= 0and when x = 1, y = 4

EJ
Answered by Ella-May J. Maths tutor

2201 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Anouk, Beth and Carlin share £48 between them. Beth gets 3/8 of the money. Anouk and Carlin share the remaining money between them, by the ratio 3:2. How much money does Carlin get?


Solve the simultaneous equations: 2x + y = 18, x - y = 6


How to differentiate 9x^2+ 4x-7=0


How do I find the roots and and coordinates of the vertex of the graph y = 2x^2 + 4x - 8 ?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences