Question

I need help on this puzzle.

Answer 1

S = snowman

F = snow flake

`\begin{cases} S+2F=7\\\\ 3S-2F=-11 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{S+2F=7}\implies S=7-2F \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3(\stackrel{S}{7-2F})~~ - ~~2F~~ = ~~-11}\implies 21-6F-2F=-11 \implies 21-8F=-11 \\\\\\ 21=8F-11\implies 32=8F\implies \cfrac{32}{8}=F\implies \boxed{4=F}~\hfill~\stackrel{ 7~~ - ~~2(4) }{\boxed{S=-1}}`