MYTUTOR SUBJECT ANSWERS

344 views

Solve the simultaneous equations 5x + 3y = 24 and 3x - 4y = 26

Ok, so here are the equations

5x+3y=24

3x-4y=26

So let's multiply the first equation by 3, which gives us:

15x+9y=72

Now let's multiply the second equation by 5, which gives us:

15x-20y=130

So we're now left with:

15x+9y=72

15x-20y=130

Let's rearrange both of these equations to make 15x the subject. So now we're left with:

15x = 72-9y

15x= 130+20y

Now we can compare these two equations, to give us:

72-9y=130+20y (=15x)

If we rearrange this new equation, we find that:

20y + 9y = 72 - 130

29y = -58

y = -2

Since we now have a value for y, we can substitute this back into 5x + 3y = 24

5x + 3(-2) = 24

5x -6 = 24

5x = 30

x = 6

So, are final answer is x = 6 and y = -2

William S. 11 Plus Maths tutor, A Level Maths tutor, 13 plus  Maths t...

8 months ago

Answered by William, a GCSE Maths tutor with MyTutor


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

513 SUBJECT SPECIALISTS

£18 /hr

William D.

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Italian
Chemistry

“I am a British student currently in the first year of a masters degree in Mechanical Engineering at the University of Leeds. Having previously lived in Spain and Italy, I am fluent in both languages and have excellent communications s...”

£22 /hr

Sam H.

Degree: Computer Science (Masters) - Warwick University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Second year Computer Scientist at the University of Warwick, here to help you perform to your best in your exams!”

MyTutor guarantee

£18 /hr

Ruadhan P.

Degree: Physics (Masters) - Nottingham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Chemistry
-Personal Statements-

“I am a currently studying Physics at the University of Nottingham. The way Physics and Maths are able to explain the Universe around us truly fascinates me and I hope to be able to share that fascination and excitement for the subject...”

About the author

£18 /hr

William S.

Degree: Medicine (Other) - St. Andrews University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“I am a medical student at the university of St Andrews. I have always loved maths and sciences, and hope to share that passion with you too! I am patient and very friendly, so hopefully you will enjoy our sessions. Of course, you will...”

You may also like...

Posts by William

How can I find out the Young's modulus of a material?

How do I solve x^2+6x+8=0?

Solve the simultaneous equations 5x + 3y = 24 and 3x - 4y = 26

Other GCSE Maths questions

How do I find the equation of a line connecting points a(p,q) and b(r,s)?

Solve 5x – 2 > 3x + 11

How do I solve a quadratic equation?

Solve the following set of simultaneous equations: 3x + 2y = 15 & 9x + 4y = 1

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