Question

Yuriy and his brother Anduray are each mailing a birthday gift to a friend. Yurly's package weighs threepounds more than two times the weight of Anduray's package. The combined weight of both packages is 9pounds.Part 1: Write a system of two linear equations to represent this situation. Define each variable that you use.

Answer 1

Let 'x' be the number of pounds of Yurly's package and let 'y' be the number of pounds of Anduray's package. Since the combined weight of both packages is 9 pounds, then:

`x+y=9`

now, we have that Yurly's package weights three pounds more than two times the weight of Anduray's, we can write this as:

`x=3+2y`

thus, we have the following system of equations to represent this situation:

`\begin{cases}x+y=9 \\ x=3+2y\end{cases}`