Given that:
the number of 1-inch thick books = x
the number of 2-inch thick books= y
Total number of stacked books = 9
The height of the stacked books = 14 inches
First equation:
Since the total number of stacked books is 9, the addition of the 1-inch thick books and 2-inch thick books must equal 9.
That is,
[tex]x+y=9[/tex]
Second equation
The height of the stack of books is 14
The height of the 1-inch books =
[tex]1\text{ }\times x\text{ = }x[/tex]
The height of the 2-inch books =
[tex]2\text{ }\times y\text{ =2}y\text{ }[/tex]
Since the total height of the stacked books is 14, the addition of the height of the 1-inch and 2-inch books must be 14.
That is,
[tex]x+2y=14[/tex]
Therefore, the system of equations that can be used to determine x and y is
[tex]\begin{gathered} x+y=9 \\ x+2y=14 \end{gathered}[/tex]
Option H is correct
