Mashaal Masha
$$2x+3y=7$$ $$10x+15y=35$$

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?
Difficulty: Hard
A: 

$\left(\frac{r}{5}+7,-\frac{r}{5}+35\right)$

B: 

$\left(\ -\ \frac{3r}{2}+\frac{7}{2},\ r\right)$

C: 

\(\left(r,\ \frac{2r}{3}+\frac{7}{3}\right)\)

D: 

$\left(r,-\frac{3r}{2}+\frac{7}{2}\right)$

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