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

$\begin{gathered} 3x+5y=8.25 \\ 3x=8.25-5y \\ x=\frac{8.25-5y}{3} \end{gathered}$

x in equation 2

$\begin{gathered} \begin{bmatrix}3\cdot\frac{8.25-5y}{3}+6y=9\end{bmatrix} \\ 8.25+y=9 \\ 8.25+y-8.25=9-0.25 \\ y=0.75 \end{gathered}$

and for x

$\begin{gathered} x=\frac{8.25-5\cdot\:0.75}{3} \\ x=1.5 \end{gathered}$

then the price for each item is

dogs = $ 1.5

cats = $ 0.75