Question

select all of the equations below that are equivalent to: c + d = 69 use properties of equality. (c + d)/3 = 23; (c + d)/(-3) = -23; (c + d)/3 = 22; (c + d)/(-23) = -3

Explanation:

Step1: Test first equation

Take $c+d=69$, divide by 3:
$\frac{c+d}{3}=\frac{69}{3}=23$
This matches the first option.

Step2: Test second equation

Take $c+d=69$, divide by -3:
$\frac{c+d}{-3}=\frac{69}{-3}=-23$
This matches the second option.

Step3: Test third equation

$\frac{c+d}{3}=\frac{69}{3}=23
eq22$, so this is not equivalent.

Step4: Test fourth equation

$\frac{c+d}{-23}=\frac{69}{-23}=-3$
This matches the fourth option.

Answer:

$\frac{c + d}{3} = 23$, $\frac{c + d}{-3} = -23$, $\frac{c + d}{-23} = -3$