Solve the simultaneous equations for x and y: 3x+3y=5 and 6x+5y=9

3x+3y=5      6x+5y=9Multiply the first equation by 2 to get a workable x coefficient:6x+6y=10Write the equations above each other and subtract them:6x+6y=10                                                                                                                                                                                     - 6x+5y=9
y = 10-9y = 1
By substituting your answer for y back into the very first equation:3x+3y=53x+3(1)=53x=2x=2/3

JC
Answered by Joe C. Maths tutor

3587 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: 1) 4x - 2y = 28, 2) 4y - 3x = -36.


How do I use trigonometric ratios to work out lengths in right-angled triangles?


Solve the equation x^2 + 3x - 10 = 0


Make b the subject of the formula a = 3 - 2b


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