Question 707220
Looks like I got the same set of equations as you.:)
Let x=number of singing acts
And y=number of comedy acts
We are told that x+y=12------------------------eq1
and also
5x+3y=50-----------------------------------eq2

What do we do next? Well, you wrote a system of equations for the word problem.  If you also have to solve them, then I would multiply eq1 by 3 and get:
3x+3y=36---eq1a
next, I would subtract eq1a from eq2 and get:
2x=14
x=7---number of singing acts
substitute this into eq1
7+y=12
y=5---number of comedy acts

Hope this helps---ptaylor