MYTUTOR SUBJECT ANSWERS

332 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...

8 months ago

Answered by Jake, a GCSE Maths tutor with MyTutor


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

455 SUBJECT SPECIALISTS

£18 /hr

Isabel R.

Degree: Mathematics (Bachelors) - Manchester University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I am currently a first year studying Mathematics at the University of Manchester-so A Levels and GCSEs are still fresh in my mind when it comes to remembering how I learnt the material myself. In school I mentored GCSE students in Mat...”

£20 /hr

Oliver W.

Degree: Natural Sciences (Bachelors) - Cambridge University

Subjects offered: Maths, Extended Project Qualification+ 4 more

Maths
Extended Project Qualification
Economics
Chemistry
Biology
-Personal Statements-

“I am third year student at the University of Cambridge studying Natural Sciences. I specialise in Neurobiology. However, I have a lot of experience in othersciences and maths, at GCSE and IB level. I studied for 5 years at Sevenoaks Sc...”

£18 /hr

Joe S.

Degree: Computer Science (Bachelors) - Bristol University

Subjects offered: Maths, ICT+ 1 more

Maths
ICT
Computing

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

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

Can you explain the formula method for solving quadratic equations?

Solve the simultaneous equations: y=3x+2, x^2+y^2=20

How do I find the roots and and coordinates of the vertex of the graph y = 2x^2 + 4x - 8 ?

Find the possible values of x for x^2 = 36-5x.

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok