Simultaneously solve the equations 3x+2y=36 and 5x+4y=64

The easiest way to solve a simultaneous equation is by the method of substitution. First of all, we take the first equation, and rearrange it so that it is in terms of y. Or, in other words, rearrange it so that it becomes y=something, as shown below. 3x+2y=36 Subtracting 3x from both sides and then dividing both sides by 2 gives us: y=18-1.5x We then substitute this into the second equation, in place of y. Giving us: 5x+4(18-1.5x)=64 Multiplying out of the brackets gives us. 5x-6x+72=64 Which, with simplification, and 72 subtracted from both sides, gives us: -x=-8 which is the same as x=8. Then, all we need to do in put this value of x into either of the original equations, giving us y=6.

Answered by Finlay S. Maths tutor

10292 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How many metres does the ball drop in the next 7 seconds?


Solve the simultaneous equations: 3x + 2y = 9 and x + 7y = 22.


How to complete the square


There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences