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

1.Isolate either x or y. in this example you can do this by moving adding y to both sides of the second equation x-y=6 becomes x=6+y
2.substitute this into the other equation 2(6+y) + y = 18
3.simplify this (with the aim of finding Y)first expand the brackets12+2y+y=18rearrange by adding 2y and y and subtracting 12 from each side of the equation3y=6find y by dividing both sides by 3Y = 2
4. substitute this into the worked equation (x=6+y) to find XX=6+2X=8

SR
Answered by Sarah R. Maths tutor

4848 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make x the subject of the formula y=(4x+5)/x


Solve the equation x^2-10x+21=0


Solve the simultaneous equations to find x and y: 3x + 5y = 10 , 5x + 4y = 8


What is the nth term of the sequence 5, 7, 9, 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:

© 2025 by IXL Learning