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

4803 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If the two shorter lengths of the triangle have sizes 4cm and 3cm, what is the length of the longest side?


What is the Pythagoras Theorem?


Tom is making gift bags, each of which will contain two balloons. He wants to hide a sweet in one of the balloons. 20 balloons cost £1.33, 15 sweets cost £2.05. What is the minimum he needs to spend to make 35 bags?


Factorise 4xy-6xz


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