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SAT Math Practice Question #6313 - SATify | SATify

#6313

algebra

systems

linear equations

graphs

substitution

equations

equivalence

hard

90 sec

$2 x + 3 y = 7$
$10 x + 15 y = 35$
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?

A.

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

B.

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

C.

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

D.

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