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

Answered by David H. Maths tutor

8036 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Calculate the value of both x and y using the following 2 equations: 3x - 2y = 12 (1) and x - y = 3 (2)


X is a prime number higher than the square of 5 and lower than the square of 7. What are the smallest and largest possible values for X?


Define x and y if 2x+y=16 and 4x+6y=24


3 teas and 2 coffees have a total cost of £7.80; 5 teas and 4 coffees have a total cost of £14.20. Work out the individual cost of one tea and one coffee.


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