Question

please answer this equetion quickly for my exam
$\frac{1}{x - 1 } + \frac{1}{y - 2 } = 3 \\ \frac{2}{x - 1} + \frac{3}{y - 2} = 5$
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Answer 1

$\frac{1}{x-1}+\frac{1}{y-2}=3\\ \frac{2}{x-1}+\frac{3}{y-2}= 5$

let $\frac{1}{x-1}$ be a

let $\frac{1}{y-2}$ be b

${eq^n}$=

a+b=3••••••(1)

2a+3b=5••••••••(2)

using elimination method

multiplying (1) by 2

2a+2b=6•••••(3)

2a+3b=5•••••(4)

subtract 3 and 4

b=1

put b in any

${eq^n}$

a=2

$\frac{1}{x-1}$ is equal to a

X = $\frac{3}{2}$

$\frac{1}{y-2}$ us equal to b

y= 3

if correct plzzz mark as brainliest