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

3153 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

solve the equation x^2 -5x +1 = 25


How do I know if triangle ABC contains a right angle? (where AB=10cm, BC= 8cm, CA= 6cm)


How can you find the integral of x^-1


How do you find the area of a sector of a circle if you know the radius and the angle in the centre?


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