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

3191 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise x^(2)+5x+6


Write 2-(x+2)/(x-3)-(x-6)/(x+3) as a single fraction of ax+b/x^2-9. What is a and b?


How to factorise the expression x^2 + 8x + 15


Sketch the curve y=4-(x+3)^2, showing the points where the curve crosses the x-axis and any minimum or maximum points.


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