Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one equations to make one of the unknowns the subject of the equations (This means that x or y will be after the equals sign alone, for example x-6=y). This would then be followed by substituting this into the other equations (the one you didnt use) to then give an equation with only one unknown.
Example Answer: taking (2) rearrange x-y=6 to equal x-6=y x-6 is the same as y, so rewrite equation 1 but write that instead of y 2x+y = 18 2x + x - 6 = 18 2x + x = 24 3x = 24 x= 8

SW
Answered by Samantha W. Maths tutor

5141 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Write (9^8)/((9^5)^2) in its simplest form


Many students do not understand the rules for when one can 'cancel' in regards to fractions


Solve the following simultaneous equations to find x and y.


Find x and y when 3x + 4y = 27 and x + 2y = 11


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