MYTUTOR SUBJECT ANSWERS

180 views

If 2x + y = 13 and 3x - y = 12, what are the values for x and y?

To solve these simulataneous equations we need to use substitution:

If 2x + y = 13 then y = 13 - 2x

Therefore 3x - y = 12 can be rewritten as 3x - (13 - 2x) = 12

We can expand these brackets and solve for x:

3x - 13 + 2x = 12

-> 5x = 25

--> x = 5

Now we have the value of x, we can subsitute this into either of the initial equations to find the value of y:

2(5) + y = 13

--> 10 + y = 13

--> y = 3

OR:

3(5) - y = 12

--> 15 - y = 12

--> y = 3

You can then check your values are correct by subsituting them into either of the equations:

2(5) + (3) = 13

10 + 3 = 13 --> it works!

Emma W. GCSE Biology tutor, A Level Biology tutor, GCSE Chemistry tut...

4 months ago

Answered by Emma, a GCSE Maths tutor with MyTutor


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

319 SUBJECT SPECIALISTS

£18 /hr

Harry M.

Degree: Physics (Masters) - Exeter University

Subjects offered: Maths, Physics

Maths
Physics

“Hey everyone,If you're reading this, then I assume you're stuck on something physics-y or maths-y. If so, thenI can help! I'm a Physics student at Exeter University and I can be your guru. Physics reduces the complex world to somethi...”

£18 /hr

Quentin D.

Degree: mathematics (Bachelors) - Durham University

Subjects offered: Maths, French+ 1 more

Maths
French
Biology

“About me: I am a French native speaker. During my childhood I have travelled quite a lot meaning that I am perfectly bilingual in French and English. Because I have travelled a lot, Maths has always been the "language" I recognized t...”

£18 /hr

Mohammad M.

Degree: General Engineering (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Chemistry
Arabic

“I am studying Engineering at Durham University. From a very early age I have been fascinated by machines; how they work, how they have developed over time, and how they are useful in society today. I have a keen interest in motors and ...”

About the author

£18 /hr

Emma W.

Degree: Veterinary Medicine (Bachelors) - Liverpool University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Biology
-Personal Statements-

“Who am I? I am a veterinary student at the University of Liverpool. From a young age I have always had a keen interest in science - and animals of course! I want to share my passion for science and maths with others, and show that it'...”

You may also like...

Posts by Emma

If 2x + y = 13 and 3x - y = 12, what are the values for x and y?

What is empirical formula and how is it worked out?

What is the difference between a scalar and a vector quantity?

What is the difference between diffusion and active transport?

Other GCSE Maths questions

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

Solve the following to find x. x^2 +3x -10 =0

Find the highest common factor (HCF) of 12 and 18.

Work out the value of 125 to the power of -2/3.

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