Answer:
The number of bicycles is 12 and the number of tricycles is 7
Step-by-step explanation:
Let
x ----> the number of bicycles
y ---> the number of tricycles
we know that
There are 19 bicycles and tricycles in a store
so
[tex]x+y=19[/tex] -----> equation A
There are 45 wheels
Remember that a bicycle has two wheels and a tricycle has three wheels
so
[tex]2x+3y=45[/tex] ----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (12,7)
see the attached figure
therefore
The number of bicycles is 12 and the number of tricycles is 7