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

7867 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6


A conical vase of base radius 5cm and height 20cm is filled with 200ml of water, how high is the water level? Give your answer to 3 significant figures.


Write 7/8 as a decimal


factorise fully: 10pq +15pqr


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