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

5068 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the coordinates of the mid-point AB where A (-3,-3) and B (1,3)


Pythagoras: If you have a right angled triangle PQR, and length PQ=5cm, length QR=8cm (which is the longest length), then calculate length PR to two decimal places.


Over a year, the number of rabbits in a field increases by 25% and then by a further 30%. Originally there were 200 rabbits in the field how many were there at the end?


How do you simplify the square root of 18 without using a calculator?


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