Question

Solve x + 6/y = 6 and3x - 8/y = 5

Answer 1

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Answer 2

• Let x = M and $\dfrac{1}{y}$ = N

M + 6N = 6

$\implies$ M = 6 - 6N _________ (eq 1)

3M - 8N = 5

$\implies$ 3(6 - 6N) - 8N = 5 [From (eq 1)]

$\implies$ 18 - 18N - 8N = 5

$\implies$ - 26N = 5 - 18

$\implies$ 26N = 13

$\implies$ N = $\dfrac{ { \cancel{13}}^{1} }{ { \cancel{26}}^{2} }$

$\implies$ N = $\dfrac{1}{2}$

• Put value of N in (eq 1)

$\implies$ M = 6 - 6 × $\dfrac{1}{2}$

$\implies$ M = $\dfrac{12\:-\:6}{2}$

$\implies$ M = $\dfrac{6}{2}$

$\implies$ M = 3

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M = x = 3

N = $\dfrac{1}{y}$ = $\dfrac{1}{2}$

y = 2

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$\huge{x\:=\:3}$

$\huge{y\:=\:2}$

____________ $\bold{[ANSWER]}$

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