For what values of A and B does the following pair of linear equations have an infinite number of solution:
a) 2x + 3y = 7
b) a(x=y) - b(x-y) = 3a + b - 2

Asked by Anjana S | 14th Jul, 2014, 05:50: PM

Expert Answer:

G i v e n space e q u a t i o n s 2 x plus 3 y equals 7 a left parenthesis x plus y right parenthesis minus b left parenthesis x minus y right parenthesis equals 3 a plus b minus 2  F o r space a b o v e space p a i r space o f space e q u a t i o n s space t o space h a v e space i n f i n i t e space s o l u t i o n s fraction numerator 2 over denominator a minus b end fraction equals fraction numerator 3 over denominator a plus b end fraction equals fraction numerator 7 over denominator 3 a plus b minus 2 end fraction 2 a plus 2 b equals 3 a minus 3 b space space rightwards double arrow a equals 5 b space minus minus minus minus minus minus minus 1 7 a minus 7 b equals 6 a plus 2 b minus 4 space space rightwards double arrow space a minus 9 b equals minus 4 space minus minus minus minus 2  S o l v i n g space 1 space a n d space 2 space w e space g e t b equals 1 comma space a equals 5  F o r space a equals 5 comma space b equals 1 comma space a b o v e space p a i r space o f space e q u a t i o n s space h a v e space i n f i n i t e space s o l u t i o n s

Answered by Dharma Teja | 15th Jul, 2014, 11:19: AM