Solving simultaneous questions, e.g. 3x + y = 11 and 2x + y = 8

The unknowns in a simultaneous equation need to be solved, which in this case are x and y.The method I will be using is by elimination:First, find which unknown has the same coefficient. In this example this is the letter y that has a coefficient of 1 in both equations.Then, subtract the two equations from each other to eliminate y so you get:3x + y = 11-2x + y = 8-------------x = 3Now, you know what x is so you can substitute x back into any of the equations to rearrange and find yIn this case subbing into 3x + y = 113x + y = 113(3) + y = 119 + y = 11y = 2We have now found x = 3 and y = 2To check the answers are right, substitute this back into the second equation just for confirmation and this should work!

Answered by Simran S. Maths tutor

2491 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise x^2 + 3x +2


Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 - 3x.


Factorise 3x+12


Solve the simultaneous equations: 2x - y = 4 and x + 2y = 7


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