Question

find the value of x and y​

Answer 1

Answer:

Sol :

Given equations are  ax+by = c  --------------(1)  and  ay+bx = c+1  --------------(2)

multiply  equation (1) by 'b' and  equation (2)  by 'a' we get

    abx+b2y = bc  

    abx +a2y= ac+a  (subtract)

------------------------------------          

          ( b2-a2)y = bc - ac -a

y =   (bc - ac -a) / ( b2-a2)      

multiply  equation (1) by 'a' and  equation (2)  by 'b' we get

  a2x+aby = ac  

  aby+b2x = bc+b   (substract)

---------------------------

(a2- b2)x = (ac-bc -b)

x = (ac-bc -b) / (a2- b2)

∴ the values of x and y are (ac-bc -b) / (a2- b2) , (bc - ac -a) / ( b2-a2)     .

Answer 2

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