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

3235 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Write x^2 + 3x + 1 in the form of (x+b)^2 + c


Why do the denominators have to be equal when adding fractions, but not when multiplying them?


Make y the subject of the formula x=(2y-1)/(4-y)


Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences