## Algebra and Trigonometry 10th Edition

$\begin{bmatrix} 1& 1& 1 \\ 2.5 & 4 & 2 \\ 1 & -2 & -2 \end{bmatrix} \begin{bmatrix} R \\ L \\ I \end{bmatrix}= \begin{bmatrix} 120 \\ 300 \\ 0 \end{bmatrix}$
We are told that the total number of flowers are $120$. From the previous part: $R+L+I=120 ....(1)$ $2.5 R+4L+2I=300 ...(2)$ $R=2(L+I) ....(3)$ Our goal is to write a matrix equation which corresponds to equations (1), (2) and (3). Thus, $X= \begin{bmatrix} 1& 1& 1 \\ 2.5 & 4 & 2 \\ 1 & -2 & -2 \end{bmatrix} \begin{bmatrix} R \\ L \\ I \end{bmatrix}= \begin{bmatrix} 120 \\ 300 \\ 0 \end{bmatrix}$