Solve equations 2x+y=9 and x+2y=6 to find x and y.

First of all we need to rearrange the equations in a way which allows us to get rid of either the x or y variable.

To do this we need to have either the same number of x's or same number of y's in both equations. 

So we can change x+2y=6 to 2x+4y=12 by multiplying the equation by 2.

Then we can do 2x+4y=12 - 2x+y=9 to give us 3y=3 and therefore y=1.

Now to find x we can substitute our value for y back into one of our original equations, for example x+2y=6. to give us x+2=6, which solves through to x=4.

Finally we can check our answer by substituting our x and y values back into the other original equation and checking it makes sense. 2x+y = 9 becomes 8+1=9, so we have solved correctly.

Therefore our final answer is x = 4 and y = 1.

Answered by Jake B. Maths tutor

12702 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I’m having some trouble understanding functions. Mainly concerning how to know what the input and outputs are. Could you give me an explanation?


In a group of 120 people, 85 have black hair, 78 have brown eyes and 20 have neither black hair nor brown eyes. Find the probability of a random person being picked having black hair, given they have brown eyes


Solve the simultaneous equations: 2x + y = 5 , x + 4y = -22


3 postitive whole numbers have a mean of 6. What is the greatest possible range of the numbers?


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