MYTUTOR SUBJECT ANSWERS

385 views

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.

Jake B. IB Maths tutor, GCSE Maths tutor, A Level Maths tutor, 13 plu...

9 months ago

Answered by Jake, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

511 SUBJECT SPECIALISTS

£18 /hr

Sam H.

Degree: Physics (Masters) - Bristol University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Top Maths and Physics tutor from the renowned university of Bristol, ready to help you improve your grades!”

Sam C. GCSE Maths tutor, 13 Plus  Maths tutor, 11 Plus Maths tutor, A...
£18 /hr

Sam C.

Degree: Physics (Masters) - Oxford, Trinity College University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
.PAT.
-Oxbridge Preparation-

“Maths and Physics hold the tools to unravelling the mysteries of the universe! I hope you enjoy unlocking these tools as much as I do!”

£22 /hr

Sam A.

Degree: Molecular Biotechnology (Masters) - Birmingham University

Subjects offered:Maths, Human Biology+ 2 more

Maths
Human Biology
Chemistry

“I am a Masters student in Molecular Biotechnology and I have a passion for life sciences, with a particular in its industrial applications! I have a lot of experience helping students to understand science, from secondary school to un...”

About the author

£18 /hr

Jake B.

Degree: Mathematics (Masters) - Durham University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“About Me: Hi, my name is Jake, and I am a second year Mathematics Student at Durham University. I have tutored maths for 3 years now, at both GCSE and A level, and I absolutely love it! I My Sessions: During the sessions I will cove...”

You may also like...

Posts by Jake

Differentiate the equation y = x^2 + 3x + 1 with respect to x.

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

Other GCSE Maths questions

Find the point of intersection between two lines y=2x+4 and 2y+3x=1:

how do you solve these simultaneous equations?

Solve this quadractic equation: x^2 - 8x + 15 = 0

Show that n²-n-90=0

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok