Using simultaneous equations find x & y. Equation A: 3x + 2y = 3 -y and Equation B: 5x + 3y = 6 + x

So firstly, it makes it a lot easier if we put all the stuff we don't know on one side, and the numbers on the other. Be careful moving the -y over to the other side. This would give Equation A as 3x + 3y = 3 and Equation B as 4x + 3y = 6 . As you can see in both equations we have a +3y. An easy thing to help with these type of questions is remembering SSS (same signs subtract)- I can show you how this works if you want, or if you think it will complicate it we can stick with remembering SSS. 4x + 3y = 6- 3x + 3y = 3= x = 3If we then substitute that back in to one of the original equations (always pick the easiest one- here equation B looks better as there are no minus signs which could lead to a silly mistake. (5*3) + 3y = (6+3)15 + 3y = 93y = 9-153y = -6y=-2
x = 3 and y = -2 At the end clearly write your 2 answers (just to be sure the examiner can clearly see you are a maths genius!)


EM
Answered by Elke M. Maths tutor

2822 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following equation: 4x + 7 = 2x - 5


Simplify sqrt(12)


Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)


Solve the simultaneous equations 3x + y = 4 x + y = 2


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