#### Topic Content:

- Elimination Method

This method is very useful to solve simultaneous equations especially when none of the coefficients of the unknown is 1. To eliminate means to get rid of a variable.

### Example 2.1.1:

6*x* + 5y = 15

3*x* + 5y = 12

**Solution**

Since the coefficients of y in both equations are the same, the y-variable can be eliminated by subtracting equation **(2)** from **(1)**

6x | +5y | = | 15 …………(1) | |

– | 3x | +5y | = | 12 …………(2) |

3x | = | 3 |

This can be simply calculated as;

\( \scriptsize (6x \: – \: 3x) + (5y \: – \: 5y) = 15 \: -\: 12 \) \( \scriptsize 3x + 0 = 3 \)

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