Solve the simultaneous equations: 5x+5y = 6 7x+3y = 6

Label the equations 1) 5x+5y = 6 and 2) 7x+3y = 6 . Then rearrange equation 1 to make x the subject of the equation: 5x = 6-5y. You would then simplify this equation to find the equation for x: x = 6/5 - y.
Once you have found the equaiton for x you subsitute it back into equation number 2: 7(6/5 - y) + 3y = 6. This equtation then needs to be expanded before it can be simplified to find y: 42/5 - 7y + 3y = 6. This can then be simplified to : 42/5 -4y = 6. You then rearrange to make y the subject of the equation and simplify: 4y = 12/5. then y=3/5. Once you have found this y value you must put it back into the equation you found for x in order to find the value for x: x= 6/5 - 3/5. Therefore the value for x is also 3/5. It is important to check these values for x and y by putting them into either starting equations 1 or 2 and checking that they result in the correct answer.

IB
Answered by Isobel B. Maths tutor

3497 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is 45% of 60?


How do I solve a simultaneous equation?


One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.


How do I solve the equation 5y+18=3y+4?


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