Solving Simultaneous Equations

Introduction

A simultaneous equation is two (or more) equations which contain more than one letter term.

To solve a pair of simultaneous equations, first eliminate one of the letter terms and find the value of the remaining letter. You can then substitute this value into the original equations to find the value of the other letter term.

A common way of solving simultaneous equations is by equating the coefficients. This means getting the number in front of a letter term the same by multiplying one of both of the equations.

How to solve simultaneous equations

Example 1 - A simple case where the coefficient of x is the same

Solve this pair of simultaneous equations: 

2x+5y  2x+2y   =27 =12    

In both equations notice we have the same number of  x   terms.

Subtracting the second equation from the first equation gives  3y =15…