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

10773 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise fully: 3x - 9x^2


Solve algebraically: 6a + b = 16 5a - 2b = 19


A metal Sphere of radius Ym is melted down and remade into a cylinder of the same volume with height Ym with circular ends of radius 3m, find Y


Solve the equation 3(x+1) = 21


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 2013–2024

Terms & Conditions|Privacy Policy