3A + 4B =32 6A-2B=14 work out the values of A and B

First we need to get either an equal number of As, an opposite number of As. An equal number of Bs or an opposite number of Bs. 6A-2B= 14 (Multiply by 2) 12A-4B =28 and 3A +4B =32 add together15A=60 (divide by 15) A=4Then substitute A=4 into the original equation3(4) + 4B = 3212 + 4B = 324B=20 (divide by 4)B=5 Then substitue these values into the other equation to see if they work6(4) -2(5) =1424-10 = 1414=14 so does make sense and is correct. A=4 B=5

OR
Answered by Oliver R. Maths tutor

3059 Views

See similar Maths KS3 tutors

Related Maths KS3 answers

All answers ▸

I'm really bad at non-calculator questions - how can I get better at calculations?


Solve 4x + 10 = 18


A bag has blue and red counters in a ration of 4:5. If there are 45 counters in the bag, how many red counters are there?


Rearranging formulae


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