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.



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