Define x and y if 3x+y=11 and 5x-2y=11

This is a simultaneous equations question. In this situation the equations can be multiplied to create a common coefficient: 3x+y=11 therefore 6x+2y=22You can then add the equations together: 6x+2y=22 plus 5x-2y=11 therefore 11x=33 and x=3Subbing x=3 into one of the initial equations allows you to solve for y:3x+y=11 therefore 3(3)+y=11 therefore 9+y=11 therefore y=2Check these answers by substituting x and y into the other equation: 5(3)-2(2)=15-4=11Therefore x=3 and y=2

Answered by Jonathan M. Maths tutor

3551 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations equation 1: 2x+3y=4 and equation 2: 5x+6y=7


(a) Expand and simplify (x − 3)(x + 5), ..2 marks.. (b) Solve x^2 + 8x − 9 = 0 ..3 marks..


Solve the following two equations simultaneously: 3x + y = 10, x + y = 4


Solve the equation 3x squared + 4x – 12 = 0 Give your solutions correct to 2 decimal places.


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