Question Choose a system of linear equations to represent the growth of a $4$ inch per year spruce tree and a $6$ inch per year hemlock tree with initial heights of $14$ inches and $8$ inches, respectively.

Studdy Solution
Combine the equations for both trees into a system of linear equations.
The system of linear equations that represents the situation is:
$\begin{cases} y = 4x + 14 & \text{(Spruce tree)} \\ y = 6x + 8 & \text{(Hemlock tree)} \end{cases}$
This system of equations can be used to determine the height of each tree after any given number of years, as well as to find out when both trees will be of the same height, if needed.