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

3548 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The sides of an equilateral triangle are given by the expressions x+y, 2y-1 and 3y-2x+1. Find the values of x and y.


Insert one pair of brackets so that this calculation is correct; 3 x 6 + 5 - 1 = 32


Simplify 2a+6b-a+2b+3a


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.


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