How do I solve the simultaneous equations 3x+2y=17, 4x-y=30?

Lets number the equations: 1) 3x + 2y = 17 2) 4x - y = 30If we double equation 2) we will get matching y coefficients so:8x - 2y = 60 if we rearrange this to be 8x-60 = 2y Then if we put these together: 3x + 8x -60 = 17 11x = 77x=7 Substitute in x=7(3x7) +2y = 1721 + 2y = 172y = -4y = -2Therefore x=7 and y=-2

VL
Answered by Vicki L. Maths tutor

3801 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you calculate the area of a triangle when the question tells you the length of all three sides but no angles?


Solve 4(x+3)=2x+8


Jess wants to buy 30 mugs for her tea party. She can buy them at Shop A at £3.49 each or at Shop B as a pack of 30 at £58 plus VAT at 20%. She wants to get the cheapest option. Which shop should she buy from?


1/7 + 5/3x


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