Question

Find value of X and Y

$\frac{1}{2x} \: - \: \frac{1}{y} = \: - \: 1 \\ \\ \frac{1}{x} \: + \: \: \frac{1}{2y} = \: 8$

Answer 1

HOLA

========================

$\frac{1}{2x} - \ \frac{1}{y} \: = \: - 1 = > u - 2v = - 2 \\ \\ \\ \frac{1}{x} + \frac{1}{2y} \: = \: 8 = > 2u \: + v \: = \: 16 \\ \\ multiplying \: 2 \: in \: eq \: 2 \: and \: v \: in \: eq1 \\ \\ u \: - \: 2v \: = \: - 2 \\ 4u \: - \: 2v \: = \: 32 \\ - - - - - - - - - - \\ 5u \: - \: 0 \: = \: 30 \\ \\ u \: = \: \frac{30}{5} = \: 6 \: - \: eq \: 3 \\ \\ substiuting \: eq \: in \: 3 \: in \: eq \: 1 \\ \\ u \: - \: 2v \: = \: - 2 \\ \\ 6 \: - \: 2v \: = \: - 2 \\ \\ 2v \: = \: 6 \: - \: 2 \: = \: 4 \\ \\ v \: = \: \frac{4}{2} = \: 2 \\ \\ v \: = \: \frac{1}{y} = \: 2\: = \: \frac{1}{2} \\ \\ u \: = \: \frac{1}{x} = \: 6 \: = \: \frac{1}{6} \\ \\ so \\ \\ \: x \: = \: \frac{1}{2} \\ \\ y \: = \: \frac{1}{6}$

=============================

HOPE U UNDERSTAND ❤❤❤

Answer 2

Answer:

Hey mate plzz refer to the attachment