Answer:
1) The system of linear equations is equal to
b+t=15 and 2b+3t=38
2) The number of bicycles ordered was 7 and the number of tricycles ordered was 8
Step-by-step explanation:
Let
b----> the number of bicycles ordered
t----> the number of tricycles ordered
we know that
b+t=15 -----> equation A
2b+3t=38 ---> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (7,8)
see the attached figure
therefore
The number of bicycles ordered was 7
The number of tricycles ordered was 8
The number of bicycles ordered was 7 and the number of tricycles ordered was 8.
Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations.
Let, the number of tricycles and b represent the number of bicycles ordered.
A recreation center ordered a total of 15 tricycles and bicycles from a sporting goods store.
[tex]\rm b+t=15[/tex]
The number of wheels for all the tricycles and bicycles totaled 38.
[tex]\rm 2b+3t=38[/tex]
From equation 1
[tex]\rm b+t=15\\\\b=15-t[/tex]
Substitute the value of b in equation 2
[tex]\rm 2b+3t=38\\\\ 2(15-t)+3t=38\\\\30-2t+3t=38\\\\t=38-30\\\\t=8[/tex]
Substitute the value of t in equation 1
[tex]\rm b+t=15\\\\b=15-t\\\\ b = 15-8\\\\b=7[/tex]
Hence, the number of bicycles ordered was 7 and the number of tricycles ordered was 8.
To know more about the System of equations click the link given below.
https://brainly.com/question/12895249
