Question

3/x+6/y=12 & 4/x+12y=44​

Answer 1

HeYa❤️...

Answer:

$let \: the \: value \: of \: \frac{1}{x} = p \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ and \: the \: value \: of \: \: \frac{1}{y} = q \\ \\ \\ \\ 3p + 6q = 12........(i) \\ 4p + 12q = 44........(ii) \\ \\ \\ \\ multiply \: eq(i) \: by \: 4 \: and \: eq(ii) \: by \: 3 \: both \: the \: sides \\ 12p + 24q = 48.......(iii) \\ 12p + 36q = 132......(iv) \\ \\ subtract \: eq(iii) \: from \: eq(iv) \\ 12p + 36q = 132 - ( 12p + 24q = 48) \\ q = 7 \\ \\ put \: q = 7 \: in \: eq(iii) \\ 12p + 24 \times 7 = 48 \\ p = - 10 \\ \\ hence...x = \frac{ - 1}{10} \: and \: y = \frac{1}{7}$

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