Question

x - a / x - b = a + b / a - b solve equation​

Answer 1

$\frac{x - a}{x - b} = \frac{a + b}{a - b}$

$(x - a)(a - b) = (x - b)(a + b)$

$\implies \: ax - bx - {a}^{2} + ab = ax + bx - ab - {b}^{2}$

$\implies \: - 2bx - {a}^{2} + 2ab + {b}^{2} = 0 \\ \implies {a}^{2} - {b}^{2} + 2bx - 2ab = 0$

Answer 2

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$\frac{x - a}{x - b } = \frac{a + b}{a - b} \\ x - a \times a - b = a + b \times x - b \\ x - a = \frac{a + b \times x - b}{a - b} \\ x - a = b \times x \\ x = b \times - a \\ x = - ba \\ hey \: mark \: me \: as \: brainlist$