How do I solve a simultaneous equation?

In a simultaneous equation, you have tow unknown constants. For example: 2x + y = 18; x − y = 6. To find out the values of each, you first need to find one. You do this by getting one constant on its own on one side of one equation: x - y = 6 can be changed to x = y + 6. This can be rewritten as x = (y + 6). This shows that x is the same as y + 6, so hopefully you can see how we can now plug in this expression into the OTHER equation: 2x + y = 18 can be rewritten as 2(y + 6) + y = 18. We can now solve this.2y + 12 + y = 183y = 6y = 2We can now plug the value of y into either equation to find x.x - y = 6x - (2) = 6x = 8

NL
Answered by Nat L. Maths tutor

3302 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Given the functions f(x) = (x + 2)/9 and g(x) = x^3 + 6, find fg(x).


What is Standard form? And when can I use it?


4x^2+5x+2=10


Solve 4 + 3(2x - 5) = x + 9.


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