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

4510 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

what is the determinant of a 2x2 matrix


How do you complete the square?


You are given a square which you are told has a total area of 100 squared centimetres. You are also told that one side of the square has dimension 4(3x + 2), and the other has dimension 8x - y. What are the values of x and y?


White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the 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:

© 2026 by IXL Learning