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# Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method

#### 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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Pair of Linear Equation in two variable part 11 (Algebraic Elimination) [00:14:29]
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