For each real number $r$, which of the following points lies on the g…

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Text

2 x + 7 y = 5

12 x + 42 y = 30

For each real number

r

, which of the following points lies on the graph of each equation in the

x y

-plane for the given system?

(r, - \frac{2}{7} r + \frac{5}{7})

(- \frac{2}{7} r + \frac{5}{7}, r)

(- \frac{2}{7} r + 5, \frac{2}{7} r + 30)

(\frac{r}{6} + 5, - \frac{r}{6} + 30)