Question

$4m - 2n = 4 \\ 4m + 3n = 16$
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Answer 1

Answer:

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Answer 2

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$4m - 2n = 4 \\ 4m + 3n = 16$

Find m and n.

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$\tt4m - 2n = 4 \: ........(i) \\ \tt4m + 3n = 16 \: ......(ii)$

$\tt \: on \: subtracting \: equation \: (i) \: from \: (ii) \: we \: get$

$\tt \cancel{4m} + 3n = 16 \\ \tt \cancel{4m} - 2n = 04 \\ - \: \: \: \: \: \: \: \: \: + \: \: \: \: \: \: \: - \\ \tt - - - - - - - - \\\tt5n =12 \\ \tt \: \color{gold}n = \frac{12}{5}$

$\tt \: now \: on \: putting \: the \: value \: of \: n \: on \: eq.(ii) \: we \: get$

$\tt 4m + 3n = 16 \\ \tt4m + 3(\frac{12}{5}) = 16 \\ \tt4m = 16 - \frac{36}{5} \\ \tt \: 4m = \frac{80-36}{5}\\ \tt\: m = \frac{\cancel{44}}{5} × \frac{1}{\cancel4}\\ \tt \: \color{gold}m = \frac{11}{5}$