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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

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

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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