Given:
The equation is
[tex]3.6y+7.5x=21600[/tex]
where, y is the number of cars and x is the number of trucks shipped.
To find:
The number of trucks that can be shipped if there are no cars.
Solution:
We have,
[tex]3.6y+7.5x=21600[/tex]
If there are no cars in the cargo ship, then y = 0 because y is the number of cars.
Putting y=0 in the given equation, we get
[tex]3.6(0)+7.5x=21600[/tex]
[tex]0+7.5x=21600[/tex]
[tex]7.5x=21600[/tex]
Divide both sides by 7.5.
[tex]x=\dfrac{21600}{7.5}[/tex]
[tex]x=2880[/tex]
x is the number of trucks shipped.
Therefore, the number of trucks that can be shipped if there are no cars is 2880.
