Name: SAT Math Help & School Math Mastery
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#30909

systems

linear equations

medium

75 sec

Given the system of equations:
$4 x - 5 y 8 x - 10 y = 12 = 24$
For each real number $r$ , which of the following points $(x, y)$ lies on the graph of both equations in the $x y$ -plane?

A.

$(r, \frac{4}{5} r + \frac{12}{5})$

B.

$(r, \frac{5}{4} r - 3)$

C.

$(r, \frac{4}{5} r - \frac{12}{5})$

D.

$(\frac{4}{5} r - \frac{12}{5}, r)$