Bowler world charges $5.00 to rent shoes and $1.10 per game. lucky spares charges $3.00 for shoes and $1.50 per game. for how many games is the cost the same for both locations? what is that cost?

We just need the equations to equal the same, which is y.
5+1.10x=y
3+1.50x=y
5+1.10x= 3+1.50x
Le'ts get x by itself by subtract 3 from both sides.
2+1.10x= 1.50x
Now subtract 1.10x from both sides.
2= 0.4x
Now divide each side by 0.4
5=X
So, at 5 games they're the same cost. Let's find the cost.
5+1.1(5)= 5+5.5=10.50
3+1.5(5)=3+7.5= 10.50
So, at 5 games, they are $10.50.

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2