Solve simultaneously 2x + 3y = 18 and y = 3x – 5 to find the value of x and y.

sub the y value into the first eqn 2x + 3(3x-5) = 18 expand the brackets 2x +9x-15 = 18 add up the x values 11x -15 = 18 add 15 to both sides to cancel it out on the l.h.s 11x = 33 divide by 11 to get value of x x = 3 put value of x into the y eqn y = 3(3) - 5 work out value of y y = 4

JG
Answered by Jessica G. Maths tutor

3840 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these pair of simultaneous questions: 3x+2y=17 4x-y=30


How to do add or subtraction fractions?


A triangle has 3 angles of 60 degrees, (5y-40) degrees, and (2y+20) degrees. Show that the triangle is equilateral.


How do I factorise difficult quadratic equations?


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