Solve Simultaneous equations: 3x + 4y = 23 & 2x + 3y = 16

We need to cancel one of the variables (the x or y) out. Find the LCM of x or y.e.g. for x --> 6Multiply the WHOLE eqn to get 6x. So multiply the 1st eqn by 2 and the 2nd by 3[1] 6x + 8y = 46[2] 6x + 9y = 48 Then cancel out the x by subtracting one eqn from the other.e.g. [2] - [1] => y = 2Now sub y into one of the eqns that we started with2x + 3(2) = 162x + 6 = 162x = 10x = 5ANSWER: y = 2 & x = 5

EE
Answered by Eric E. Maths tutor

2881 Views

See similar Maths KS3 tutors

Related Maths KS3 answers

All answers ▸

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


Why do you put the quadratic equation equal to zero when you want to find it’s roots?


Bob buys 33 pens and 21 rulers for £6. A ruler costs 8 pence more than a pen. How much does one pen cost?


The formula for the volume of a cone is V=1/3πR^2H. If R=6 and H=5, work out its volume in terms of π.


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