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Asked by Harish Uthaya kumar

May 5, 2014

ax+by=c and ay+bx=c+1 find the value of x and y

ax+by=c            and ay+bx=c+1        find the value of x and y

Answers(2)

Answer

Sagar kumar

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  (substract)
------------------------------------         
           ( 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)     .

Raghunath Reddy

Member since Apr 11, 2014

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  (substract)
------------------------------------         
           ( 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)     .
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