Solve this set of simultaneous equations: 5x+3=3y 9x+9=6y

Firstly, you need to understand that the two equations are interlinked, therefore the x and the y variables are the same values in both equations. To make things easier, we can number both equations. What we are trying to do is eliminate one of the variables to allow us to solve an equation. We can do this by multiplying equation one by 2. This gives 10x+6=6y. Now both equations have 6y in. Now we can take equation 2 away from the new equation 1. This gives x-3=0, which can then be solved to show x=3. This can then be plugged back into either of the original formulae to find y. y=6.

RJ
Answered by Ryan J. Maths tutor

3226 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I work out the measurement of an angle in a right-angle triangle?


Why do we bother using surds?


There are 20 balls in a bag. The probability is 0.25 of picking a red ball. If one more red ball is added, what is the new probability of picking a red ball at random?


The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) . The straight line L2 passes through the origin and has a gradient of -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.


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:

© 2026 by IXL Learning