Solve the following set of equations. 3x + 2y = 5, 2x + 3y =6

This question is an example of simultaneous equations. It's very important to show your working on this question otherwise you won't get any marks, even if you get the right answer! All simultaneous questions you will come across will have more or less the same approach. We want to start off by removing one of the variable from the equations. We do this by adding /subtracting a multiple of one of the equations to the other. Let's label the first equations a, and the second equation b - to make it easy to see for the marker what we are doing. Now if we calculate 2a-3b we get 6x + 4y - 6x -9y = 10-18.Which simplifys to -5y= -8. And so we get y = (-8/-5) =8/5. We now substitute this value of y into equation a: 3x + 16/5 = 5. We then get 3x = 5-16/5 =9/5. So x = 3/5.It is often good to try your values in both equations to check if your answers are correct.

EL
Answered by Errol L. Maths tutor

3629 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work


Factorise: 3x^2 - 9x - 30


Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup costing £1.60 3 packets of sausages Fahima pays with a £10 note. She gets 30p change. Fahima works out that one packet of sausages costs £2.30 Is Fahima right?


A bag has 24 sweet of different colours: 10 red, 8 blue and 6 yellow. What is the probabilty of not getting a blue sweet ?


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