SAT Math Practice Question #29796 - SATify | SATify

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SAT Math Practice Question #29796 - SATify | SATify

#29796

linear equations

systems

equations

hard

90 sec

Given the system of equations:
$a x = b$
$c x + y = d$

If $a + c = 1$ , and the solution to the system is $(x, y)$ , what is the value of $x + y$ in terms of $b$ and $d$ ?

A.

$b - d$

B.

$b + d$

C.

$\frac{b}{a} + d$

D.

$\frac{b}{a} + d - c (\frac{b}{a})$