1. Simultaneous Linear Equations

A system of simultaneous linear equations is written:

a1x + b1y = c1
a2x + b2y = c2

Our aim in this chapter is to find values (x, y) which satisfy both equations.

First, we will test a solution to see what it means. In later sections, we will see how to find the solution.

Example:

We are solving a chemistry problem and obtain the system:

-3x + y = 1
6x − 3y = -4

We obtain the solution $x=\frac{1}{3}$, y = 2. Is it correct?


Solution


We revise straight lines before seeing how to solve this kind of simultaneous equation using a graph.



Didn't find what you are looking for on this page? Try search:

The IntMath Newsletter

Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!

Given name: * required

Family name:

email: * required

See the Interactive Mathematics spam guarantee.

Algebra Lessons on DVD

get MathTutorDVDs

Easy to understand algebra lessons on DVD. See samples before you commit.

More info: Algebra videos

 

Bookmark this page

Add this page to diigo, Redditt, etc.

 

 


Need a break? Play a math game. Well, they all involve math... No, really!

dumbolf memoTST bola shadow factory mindfields trick-hoops-challenge crystal clear