463 views

### Solve the simultaneous equations, 5x + 2y = 20 , x + 4y= 13

(Equation 1) 5x + 2y = 20  (Equation 2) x + 4y= 13

As we know the values for x and y are the same in both equations, we can use them to find out the values for both, In order to do this we need to take one equation and define it by either x or y, for example taking equation 2 and definining x in terms of y by rearranging the equation.

x + 4y = 13

x= 13 - 4y

Now we have x defined in terms of y we can put this into equation 1 and simplify to get a value for y.

5x + 2y = 20

5(13-4y) + 2y = 20

65 - 20y +2y = 20

65 - 18y = 20

-18y = -45

18y = 45

y = 2.5

Now that we have a value for y we can use that for find x. If we put our value for y into equation 2

x + 4y = 13

x + 4(2.5) = 13

x + 10 = 13

x = 3

Now we have our two values for x and y we have solved the simultaneous equations, to check they're correct we should substitute both values into either equation and see if the equation is correct.

10 months ago

Answered by Ellen, a GCSE Maths tutor with MyTutor

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

#### 526 SUBJECT SPECIALISTS

£18 /hr

Gayathri S.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered:Maths, Biology+ 2 more

Maths
Biology
-Personal Statements-
-Medical School Preparation-

“I’m a medical student keen to pass on my passion for learning to others! I’m immediately available to tutor at flexible times. ”

£22 /hr

Haider M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered:Maths, Physics+ 7 more

Maths
Physics
Extended Project Qualification
Chemistry
Biology
.UKCAT.
-Personal Statements-
-Medical School Preparation-

“A bit about me I am currently in my 2nd year of medical school at the University of Exeter. I really enjoy learning about science, especially the science of health disease, and would love nothing more than to pass down this knowledge ...”

£18 /hr

Bukky O.

Degree: Maths with Finance (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Hi, I'm Bukky (pronounced book-ee) and my aim is to not only help your child excel in Maths but also hopefully enjoy it too”

£18 /hr

Ellen C.

Degree: Biological Sciences (Bachelors) - Birmingham University

Subjects offered:Maths, Biology

Maths
Biology

MyTutor guarantee

### You may also like...

#### Posts by Ellen

Explain the process of eutrophication.

Solve the simultaneous equations, 5x + 2y = 20 , x + 4y= 13

What are the different stages of Mitosis?

#### Other GCSE Maths questions

Show 23/7 as a mixed number.

Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

Solve the simultaneous equation- 2x+8y=10 and 3x+2y=5

8x – 7 > 6x + 12

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