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Solve the following system of equatio...

Solve the following system of equations by method of cross-multiplication: `2a x+3b y=a+2b ,\ \ \ \ 3a x+2b y=2a+b`

A

` x = (( 5b - a ))/( 4b) , y = (( 5a - b ))/(4a)`

B

` x = (( 5a - b ))/( 4a) , y = (( 5b - a ))/(4b)`

C

` x = (( 4b - a ))/( 5b) , y = (( 4a - b ))/(5a)`

D

` x = (( 4a - b ))/( 5a) , y = (( 4b - a ))/(5b)`

Text Solution

Verified by Experts

The correct Answer is:
D
` 2ax + 3by - ( a + 2 b ) = 0 and 3 ax + 2 by - ( 2 a + b ) = 0 `.
` x = (( 4a - b ))/( 5a) , y = (( 4b - a ))/(5b)`
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