Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of the y component and we can solve for x. Now we have that 3x=24. we can divide through by 3, getting x=24/3=8. now we can substitute that into (1) getting that 2(8)+y=18, hence we get that y=18-16=2. we can double check these by subbing the values into (2) and checking they hold.

RR
Answered by Ruby R. Maths tutor

3830 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve this simultaneous equation: (1) 2x+3y=12 (2) x+4y=11


Solve 3x²+6x-7=0 by using completing the square method. Leave your answer in surd form.


Make x the subject of the following formula: 5(3x -2y) = 14 - 2ax


Solve the following simultaneous equations: 3x + 5y = 19 and 8x - 2y = -18. If both equations represent lines in a coordinate system, at which point do they intersect?


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