Question

I'm not very good with math and I have a hard time understanding

Answer 1

x = number of dogs

y = number of cats

equations are:

3x + 5y = 8.25

3x + 6y = 9

then solve for x and y

`\begin{gathered} 3x+5y=8.25 \\ 3x=8.25-5y \\ x=(8.25-5y)/(3) \end{gathered}`

x in equation 2

`\begin{gathered} \begin{bmatrix}3\cdot(8.25-5y)/(3)+6y=9\end{bmatrix} \\ 8.25+y=9 \\ 8.25+y-8.25=9-0.25 \\ y=0.75 \end{gathered}`

and for x

`\begin{gathered} x=(8.25-5\cdot\:0.75)/(3) \\ x=1.5 \end{gathered}`

then the price for each item is

dogs = $ 1.5

cats = $ 0.75