Solve the simultaneous equations 3x + 4y = 17 and 4x + y = 14

Eq1: 3x + 4y = 17

Eq2: 4x + y = 14

Eq2 x 4: 16x + 4y = 56

Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17

Simplify: 13x = 39

Solve for x: x = 3

Substitute x into Eq1: 3(3) + 4y = 17

                                 9 + 4y = 17

                                 4y = 8

                                 y = 2

Check in Eq2: 4(3) + (2) = 14

                      12 + 2  = 14

DH
Answered by David H. Maths tutor

8919 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If Tom flips a coin 3 times, what is the probability the result are heads, heads, heads, or tails,heads, tails? (assuming we have a fair coin)


factorise and hence solve x^2 + 10x +18 = -3


Solve the following simultaneous equations: 2y = 8x + 6 // x = 3y + 7


Prove that the difference of the square of two consecutive odd numbers is always a multiple of 8. [OCR GCSE June 2017 Paper 5]


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