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

Let's solve for x first by substituting y in terms of x.

4x-y=30

y=4x-30

3x+2y=3x+2(4x-30)=3x+8x-60=11x-60

11x-60=17

11x=77

x=7

Now let's solve for y by substituting x for 7

3x +2y=17

3(7)+2y=17

21+2y=17

2y=17-21

2y=-4

y=-2

We can check if our answers are correct by substituting them in the equations

3x+2y=17

3(7)+2(-2)=21-4=17

4x-y=30

4(7)-(-2)=28+2=30

JY
Answered by Jin-Ho Y. Maths tutor

3935 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically the simultaneous equations y-3x=13 and x^2+y^2=25


Factorise x² + 10x + 16


What is Pythagoras' Theorem and how do you use it?


2x + y = 24, x - y = 6


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences