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

Answered by Jin-Ho Y. Maths tutor

3558 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise and solve x^2 - 8x + 15 = 0


Can you solve these simultaneous equations and find the values of x and y? Equation 1: 2x + y = 14 Equation 2: 4x - y = 10.


Solve the simultaneous equations: y=5-x and y=x+1.


Prove that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.


We're here to help

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