#### notes

2) Elimination Method- In this method we need to eliminate one variable out of the two equations. This can be further explained using a example

`4x-9y=20` .....eq1

`3x-7y=20` .....eq2

Here we have to make one of the coefficient of both the equations equal. For doing this we will multiply coefficient of x i.e 9 with eq2 and 7 with eq1

`3 (4x-9y=20)`

`12x-27y= 60` ....eq3

`4(3x-7y=20)`

`12x-28y= 80` ....eq4

Now we will subtract eq4 from eq3

`12x-27y= 60`

`12x-28y= 80`

We get `y=-20` thus `4x-9(-20)=20`

`4x+180=20`

`4x= -160`

`x= -40`

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#### Shaalaa.com | Pair of Linear Equation in two variable part 11 (Algebraic Elimination)

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