1.

2x + 3y = 7 (a+b) x + (2a-b) y = 21

Answer»

Here,
(a + b)x + (2a - b)y = 21
2x + 3y = 7
A/c to question ,
infinity many solutions possible ,
so,
(a + b)/2 = (2a - b)/3 = 21/7

(a + b)/2 = 21/7 = 3

(a + b) = 6 ------(1)

again,
(2a - b)/3 = 21/7 = 3

(2a - b) = 9 --------(2)

solve equations (1) and (2)

3a = 15
a = 5 and b = 1

Hence, if a = 5 and b = 1 then , infinitely many solutions possible of given equations.



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