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

2894 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Washing powder is sold in two sizes: Bag 1 is 600 grams for £3.30. Bag 2 is 1500 grams and usually costs £9.60 but currently has 15% off. Which is better value?


Prove that the square of an odd number is always 1 more than a multiple of 4


A point lies on a circles diameter such that the distance from the point to the edge of circle is 4 times the distance from the point to the centre. What is the circles area in cm^2 if the distance from the point to edge is 5cm?


expand and simplify (x+1)(x-1)


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