If (1,4) is the point of intersection of the lines 2x + by =6 & 3y = 8+ax, then find the value of a-b.

Asked by Turjo Bhattacharjee | 3rd Aug, 2015, 07:30: PM

Expert Answer:

G i v e n space t h a t space left parenthesis 1 comma 4 right parenthesis space i s space t h e space p o i n t space o f space i n t e r s e c t i o n space o f space t h e space l i n e s 2 x plus b y equals 6 a n d 3 y equals 8 plus a x T h e r e f o r e comma space t h e space v a l u e s space x equals 1 space a n d space y equals 4 space s a t i s f y space t h e space a b o v e space s e t space o f space e q u a t i o n s 2 open parentheses 1 close parentheses plus b open parentheses 4 close parentheses equals 6 a n d 3 open parentheses 4 close parentheses equals 8 plus a open parentheses 1 close parentheses rightwards double arrow 2 plus 4 b equals 6 space a n d space 12 equals 8 plus a rightwards double arrow 4 b equals 4 space a n d space a equals 4 rightwards double arrow b equals 1 space a n d space a equals 4 rightwards double arrow a minus b equals 4 minus 1 equals 3

Answered by Vimala Ramamurthy | 4th Aug, 2015, 08:40: AM