MM
Mashaal Masha
Apr 12, 2024
$$2x+3y=7$$ $$10x+15y=35$$

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:

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

ID: 6619b1f55f7d3515958dfe81