MYTUTOR SUBJECT ANSWERS

133 views

Solve the simultaneous equations: 4x+3y=5 and x-y=3, to find the values of x and y.

First of all, we need to get the equations in a form so that either x or y can be eliminated.

In this case, I have a positive amount of y, and a negative amount of y, meaning that I can add the two equations together, once I have made my amounts of y equal. To do this, I will multiply the second equation by 3 to give: 3x-3y=9. When I add this to the first equation I get (4x+3x)+(3y-3y)=(5+9), as when I add a negative number, this is the same as subtraction. So I get 7x=14, which dividing both sides by 7 gives x=2.

However, the question also requires me to find a value for y, so I substite my new value of x into the second equation of the question, so 2-y=3, therefore y=2-3, which gives y=-1.

Therefore we have x=2 and y=-1 as our answer.

Laura P. GCSE Maths tutor, A Level Maths tutor, GCSE Physics tutor

3 months ago

Answered by Laura, a GCSE Maths tutor with MyTutor


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

456 SUBJECT SPECIALISTS

£18 /hr

Sahil M.

Degree: Medicine (Bachelors) - Manchester University

Subjects offered: Maths, Spanish+ 3 more

Maths
Spanish
Chemistry
Biology
-Medical School Preparation-

“Hello! My name is Sahil and I am currently a medical student at the University of Manchester. I am really looking forward to tutoring you in Spanish, Chemistry, Biology or Maths as well as trying to help you during the difficult proce...”

£30 /hr

Johnny N.

Degree: Mathematics (Masters) - Cambridge University

Subjects offered: Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Extended Project Qualification
.STEP.
.MAT.
-Oxbridge Preparation-

“I am in my fourth year studying Mathematics at the University of Cambridge, having achieved First Class Honours in each of my first three years. I have experience teaching Mathematics at a range of different levels and hope to teach i...”

MyTutor guarantee

£18 /hr

George I.

Degree: Electrical and Electronic Engineering (Masters) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About Me: I am currently a third year Electrical and Electronic engineering undergraduate at the University of Bristol. I have always enjoyed taking mathematics and further mathematics as I look forward to tackling problems with nume...”

MyTutor guarantee

About the author

£18 /hr

Laura P.

Degree: Natural Sciences (Masters) - Lancaster University

Subjects offered: Maths

Maths

“Hi! I'm Laura, a Natural Scientist at Lancadter University, where I study Maths and Phyiscs. I have such a passion for these subjects that I hope my tutorials will be both engaging and interactive, because the best way of learning is ...”

You may also like...

Posts by Laura

Find the integral of log|x| by integration by parts

Solve the simultaneous equations: 4x+3y=5 and x-y=3, to find the values of x and y.

Other GCSE Maths questions

Make x the subject of the equation y = {2(1+x)}/(3x+1)

Work out the value of 125^(-2/3)

How do I factorise quadratic equations?

Expand and simplify 3(2x + 5) – 2(x – 4)

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