Solve each of the following systems of equations by the method of cross-multiplication :
Question:

Solve each of the following systems of equations by the method of cross-multiplication :

$a x+b y=a-b$

 

$b x-a y=a+b$

Solution:

GIVEN: 

$a x+b y=a-b$

 

$b x-a y=a+b$

To find: The solution of the systems of equation by the method of cross-multiplication:

Here we have the pair of simultaneous equation

$a x+b y-(a-b)=0$

 

$b x-a y-(a+b)=0$

By cross multiplication method we get


Therefore $x=1$ and $y=-1$

Hence we get the value of $x=1$ and $y=-1$

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