Answer:
x = 3
y = 1/2
Step-by-step explanation:
[tex] {9}^{2y} \times {2}^{x} = 72 \\ \\ {9}^{2y} \times {2}^{x} = 9 \times 8 \\ \\ {9}^{2y} \times {2}^{x} = {9}^{1} \times {2}^{3} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ {2}^{x} = {2}^{3} \\ \red { \bold{\implies x = 3}} \\ \\ {9}^{2y} = {9}^{1} \\ \implies \: 2y = 1 \\ \purple{ \bold{\implies \: y = \frac{1}{2} }}[/tex]
