MYTUTOR SUBJECT ANSWERS

213 views

Solve these simultaneous equations: y=3x-10; y=2x+5

Method 1 (algebraically):

Since we have "y=" at the start of both equations, we can substitue one into the other to get

3x-10=2x+5

Then we want all the x terms on one side of the equation, and all the number terms on the other side. So we can subtract 2x from both sides to get

x-10=5

then add 10 to both sides to get

x=15.

Now we can substitute this x value back into our first equation to find a value for y!

So y=3(15)-10=45-10=35

Then we check that our x and y values (x=15 and y=35) satisfy our second equation.

35=2(15)+5

They do, so we have our answer!

Method 2 (graphically):

​If you have graph paper, and can draw accurately enough, you can draw the two equations as graphs (on the same piece of paper) and find the co-ordinates of the point where they cross.

Ideally, we want you to able to solve equations like this using algebra, however being able to draw the graph allows you to visualise what is happening.

Catherine W. GCSE Maths tutor, A Level Maths tutor, 11 Plus Maths tut...

7 months ago

Answered by Catherine, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

James J.

Degree: Classics (Bachelors) - Cambridge University

Subjects offered: Maths, Latin+ 5 more

Maths
Latin
History
Classical Greek
Classical Civilisation
-Personal Statements-
-Oxbridge Preparation-

“-        Worked with several students on GCSE English and Maths Upper 6...”

MyTutor guarantee

£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'...”

£18 /hr

Kim N.

Degree: Classics (Bachelors) - Durham University

Subjects offered: Maths, Latin+ 1 more

Maths
Latin
Classical Greek

“ABOUT ME: Hello! I'm Kim and am currently doing Classics at Durham. I was always interested in languages and the culture and history behind it, which means even now I'm trying to learn new languages and their culture! Ancient Greece a...”

About the author

Catherine W.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Maths

Maths

“About me:Hi! I'm Catherine and I'm a Mathematics student at the University of Warwick. I love studying maths - it's a subject that is so often described as "boring" and "difficult", but I truly believe that with the right teachers an...”

You may also like...

Other GCSE Maths questions

How do I calculate the gradient of a linear (straight) graph?

How do I make calculations with percentages?

Factorise and solve x^2 - 8x + 15 = 0.

Express 0.545454... as a fraction in its simplest form.

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