Solve the simultaneous equations: x + 3y = 26 and x - 3y = -22

You want to try and get rid of one of the letters from the equations. To do this you need to add a certain number of one equation into the other so that one of the letters cancel out. In the question above for example you can just add the two equations together. This will mean you will have x + x + 3y - 3y = 26 - 22. The y’s will cancel each other out so you are left with 2x = 4. From this you can divide both sides of the equation by 2 to get that x = 2. Now you can sub this value of x into one of the original equations to find the value of y. This gives you 2 + 3y = 26. From this you can rearrange to find that y = 8.

MR
Answered by Matt R. Maths tutor

3618 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

solve the quadratic equation: x^2-4x+3=0


Solve the simultaneous equation: 3x+y=24, x-7-y=-3


expand and simplify (x+7)(2x+4)


120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?


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:

© 2026 by IXL Learning