Answer:
Infinitely solution exists,
Required solution is, 
Step-by-step explanation:
We have the given equations:
Here, the augmented matrix is :
![\left[\begin{matrix}1&2&8&8\\1&1&4&4\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D1%262%268%268%5C%5C1%261%264%264%5Cend%7Bmatrix%7D%5Cright%5D)
Now, find the echelon form of the augmented matrix.
![=\left[\begin{matrix}1&2&8&8\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_2-R_1}](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D1%262%268%268%5C%5C0%26-1%26-4%26-4%5Cend%7Bmatrix%7D%5Cright%5D%5E%7BR_1%5Crightarrow%20R_2-R_1%7D)
![=\left[\begin{matrix}1&0&0&0\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_1+2R_2}](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D1%260%260%260%5C%5C0%26-1%26-4%26-4%5Cend%7Bmatrix%7D%5Cright%5D%5E%7BR_1%5Crightarrow%20R_1%2B2R_2%7D)
Therefore, 
Let 
, then the required solution is
If you want a quicker answer on that, use photo math. If you take pictures of all of those individually, youll get your answer. Apologize for not giving an answer to your problem but i figured id let you know because its faster then coming on here and asking.
If 2 1/4 cups of apples are needed for a single recipe, then a triple recipe would call for 3 times as many....
3 * 2 1/4 =
3 * 9/4 =
27/4 or 6 3/4 cups are needed for a triple recipe
48-12*2=x tsp
solve for x using order of operations
12*2=24
48-24=24
24 tsp of vanilla remains.
