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

4680 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations. 2x + y = 10 and 3x + 4y = 25.


How do I solve simultaneous equations using the substitution method?


Factorise and solve x^2 - 8x + 15 = 0


There are 200 students in Year 10. 110 are boys. There are 250 students in Year 11. 140 are boys. Which year has the greater proportion of boys?


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:

© 2025 by IXL Learning