Question

please answer my question with cross multiplication
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Answer 1

Step-by-step explanation:

ANSWER :

X = a.

y = b.

GIVEN :

$x + y = a + b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(1) \\ \\ ax - by = {a}^{2} - {b}^{2}$

TO FIND :

VALUE OF X AND Y

SOLUTION :

$x + y = a + b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(1) \\ \\ ax - by = {a}^{2} - {b}^{2} \: \: \: \: \: \: \: \: \: \: \: ...(2) \\ \\ 1 \: \: \: \: \: \: \: a + b \: \: \: \: \: 1 \: \: \: \: \: \: \: \: \: \: 1 \: \: \: \: \: \\ \\ - b \: \: \: \: {a}^{2} - {b}^{2} \: \: \: \: \: \: \: a \: \: \: \: - b \\ \\ \\ \\ \frac{x}{ {a}^{2} - {b}^{2} + b(a + b) } = \frac{y}{a(a + b) - {a}^{2} + {b}^{2} } = \frac{-1}{ - b - a} \\ \\ \frac{x}{ {a}^{2} + ab} = \frac{y}{ab + {b}^{2} } = \frac{1}{a + b} \\ \\ x = a \\ \\ y = b.$

ANSWER :

X = a.

y = b.