Solve the simultaneous equations: 2x + y = 18, x - y = 6

There are two ways to solve simultaneous equations, by substitution or by addition/subtraction. The simplest solution in this case is a method of substitution:
Rearrange the simplest equation to get only x or only y on one side:x - y = 6 --> x = 6 + ySubstitute (6 + y) in for x in the second equation:2(6 + y) + y = 18Rearrange the equation to find the value of y:12 + 2y + y = 18 --> 12 + 3y = 18 --> 3y = 18 - 12 --> 3y = 6 --> y = 2Substitute this value of y back into the original equation:x - (2) = 6 --> x = 6 + 2 --> x = 8Answer: y = 2, x = 8

Answered by Kieran T. Maths tutor

5824 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Insert a pair of brackets into this question to make it correct 2 + 5 x -6 = -42


The line L1 is given by the Equation y =3x+5, and the line L2 is given by the Equation 4y-12x+16=0. Show that the lines L1 and L2 are Parallel


Solve 3x^2 + 6x + 3 = 0


Solve the following simultaneous equations to obtain values for x and y: 2x + y = 7 & 3x - y = 8.


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