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

3460 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I factorise quadratic equations?


Solve the following simultaneous equations for x and y : 2x - y = 12; x + 3y = 20


Factorise the following equation: x^2 + x - 6


Simplify: ((3x^2)-x-2)/(x-1).


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