MYTUTOR SUBJECT ANSWERS

184 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

4 months ago

Answered by Laura, a GCSE Maths tutor with MyTutor


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

516 SUBJECT SPECIALISTS

£18 /hr

Erin B.

Degree: Biomedical Sciences (Bachelors) - Durham University

Subjects offered:Maths, Spanish+ 1 more

Maths
Spanish
Biology

“About me: I am currently in my first year studying Biomedical Sciences at Durham University. Prior to coming to the U.K., I completed the International Baccalaureate Diploma Program at an international school in Tokyo, Japan. I come ...”

MyTutor guarantee

£18 /hr

Sahil N.

Degree: Medicine (Bachelors) - Queen Mary, London ('13) University

Subjects offered:Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“About me: Hi there! I'm Sahil, a friendly and enthusiastic medical student at Barts and the London School of Medicine. Teaching has always been a wonderful passion of mine and I truly believe there is nothing more satisfying than help...”

£20 /hr

Upasana T.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered:Maths, Latin+ 1 more

Maths
Latin
Biology

“About me: Hi, my name is Upasana Topiwala and I am currently in my third year of medical school at the university of Birmingham. I've taken up tutoring in order to inspire my students to appreciate the importance of science in our liv...”

About the author

£20 /hr

Laura P.

Degree: Mathematics (Masters) - Lancaster University

Subjects offered:Maths

Maths

“Hi! I'm Laura, a Maths student at Lancaster. I have such a passion for Maths that I hope my tutorials will be both engaging and interactive, so all can enjoy!”

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

Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

Make a the subject of the following equation, p=(3a+5)/(4-a)

Can you run through the quadratic equation(including the sketch and algebra).

How do you work out the length of one of the sides of a right-angled triangle given the other two?

View GCSE Maths tutors

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

mtw:mercury1:status:ok