[tex]\displaystyle Notatii: \\
p = numarul~de~patrate \\
h = numarul~de~hexagoane \\
p+h=43 ~~~~~~| \times (-4)\\
4p+6h=192 \\
----------- \\
-4p-4h= -172 \\
4p+6h=192 \\
\text{--------------------------- ~adunam ecuatiile} \\
/ ~~~~~~2h = 20 \\ \\
h= \frac{20}{2} = \boxed{10\;hexagoane} \\ \\
p=43-h = 43 - 10 = \boxed{33\;de~patrate } [/tex]