Question

If bx - ay = a + b and ax + by = a - b, then value
(A) 0
(B) -1
(C) 2
(D) 1​

Answer 1

Answer:

X =1

Step-by-step explanation:

$bx - ay = a + b \: \: \: ........(1) \\ \\ ax + by = a - b \: \: \: \: .....(2) \\ now \: multiplying \: equation \: (1) \times b \\ and \: (2) \times a \\ \\ {b}^{2} x - aby = ab + {b}^{2} \\ {a}^{2} x + aby = {a}^{2} - ab \\ \\ on \: adding \: \: {b}^{2} x + {a}^{2} x = {a}^{2} + {b}^{2} \\ = > x( {a}^{2} + {b}^{2} ) = {a}^{2} + {b}^{2} \\ = > x = 1$