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

3285 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make y the subject of the equation: t=(y+2)/(4-y)


Solve the following simultaneous equations: 3x+y=11, 2x+y=8


The radius of a hemisphere and the radius of a cylinder are equal. The hemisphere and cylinder have equal volume. Calculate the ratio of the height of the cylinder and the radius of the cylinder.


White paint costs £2.80 per litre and blue paint costs £3.50 per litre. White and blue paint are mixed in the ratio 3 : 2. How much does it cost to make 18 litres of this mixture?


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