Question

select all of the equations below that are equivalent to:
$20 = \frac{p}{q}$
use properties of equality.
$17 = \frac{p}{q} - 3$
$12 = \frac{p}{q} - 8$
$7 = \frac{p}{q} - 13$
$14 = \frac{p}{q} - 6$

Explanation:

Step1: Substitute $\frac{p}{q}=20$ into first equation

Substitute $\frac{p}{q}=20$ into $17 = \frac{p}{q}-3$:
$17 = 20 - 3$
$17=17$ (True)

Step2: Substitute $\frac{p}{q}=20$ into second equation

Substitute $\frac{p}{q}=20$ into $12 = \frac{p}{q}-8$:
$12 = 20 - 8$
$12=12$ (True)

Step3: Substitute $\frac{p}{q}=20$ into third equation

Substitute $\frac{p}{q}=20$ into $7 = \frac{p}{q}-13$:
$7 = 20 - 13$
$7=7$ (True)

Step4: Substitute $\frac{p}{q}=20$ into fourth equation

Substitute $\frac{p}{q}=20$ into $14 = \frac{p}{q}-6$:
$14 = 20 - 6$
$14=14$ (True)

Answer:

$17 = \frac{p}{q} - 3$, $12 = \frac{p}{q} - 8$, $7 = \frac{p}{q} - 13$, $14 = \frac{p}{q} - 6$