# SOLVING LINEAR EQUATIONS IN 2 VARAIBLES USING INVERSION METHOD

Formula for inversion method :

X  =  A⁻¹ B

Example 1 :

Solve the following linear equation by inversion method

x + y  =  3, 2x + 3y  =  8

Solution :

First we have to write the given equation in the form

AX  =  B

Here X represents the unknown variables. A represent coefficient of the variables and B represents constants.

 1 1 2 3

 x y

=

 3 8

To solve this we have to apply the formula

X  =  A⁻¹ B Since A is a non singular matrix. A⁻¹ exists.  x  =  9 - 8x  =   1 y  =  -6 + 8y  =   2

Example 2 :

Solve the following linear equation by inversion method

2x - y  =  7, 3x - 2y  =  11

Solution : To solve this we have to apply the formula X = A⁻¹ B x  =   14 - 11x  =  3 y  =   21 - 22y   =  -1 Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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