Fred and Sean are collecting vintage sport cars. Together they have collected 15 cars. Fred has collected 3more sports cars Sean. How many cars has each collect

Question

I need to solve with system of equations 

Answer 1

Hello Leah.

 

Let's assign some variables first.

 

F = #Fred's cars

S = # Sean's cars

 

From the 2nd sentence of the problem

F + S = 15

 

From the 3rd sentence of the problem

F - S = 3

 

So out system of equation is.

F + S = 15

F  - S = 3

 

Using elimination, we can add the two equations together.

2F = 18

and

F = 9

Therefore, S = 6