$$\frac { h } { 2 } - \frac { 3 n } { 4 } + \frac { 5 n } { 6 } = 21$$
$h=-\frac{n}{6}+42$
$$6h-3\times 3n+2\times 5n=252$$
$$6h-9n+2\times 5n=252$$
$$6h-9n+10n=252$$
$$6h+n=252$$
$$6h=252-n$$
$$\frac{6h}{6}=\frac{252-n}{6}$$
$$h=\frac{252-n}{6}$$
$$h=-\frac{n}{6}+42$$
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$n=252-6h$
$$n=252-6h$$
