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Math·Algebra·Systems of two linear equations in two variables

hard

$$\begin{gathered} 5x+8y=9 \\ 15x+24y=27 \end{gathered}$$

For each real number $r$, which of the following points lies on the graph of each equation in the $xy$-plane for the given system?

A

$(r,-\frac{5r}{8}+\frac{9}{8})$

B

$(-\frac{5r}{8}+\frac{9}{8},r)$

C

$(-\frac{5r}{8}+9,\frac{5r}{8}+27)$

D

$(\frac{r}{3}+9,-\frac{r}{3}+27)$