Question

select all of the equations below that are equivalent to:
12 = 3 - f
use properties of equality.
19 = 7 + 3 - f 16 = 4 + 3 - f
12 = 2 + 3 - f 7 + 12 = 12 - f

Explanation:

Step1: Solve original equation for $f$

$12 = 3 - f$
$f = 3 - 12 = -9$

Step2: Test first equation

Substitute $f=-9$: $7+3-(-9)=10+9=19$. Matches left side.

Step3: Test second equation

Substitute $f=-9$: $4+3-(-9)=7+9=16$. Matches left side.

Step4: Test third equation

Substitute $f=-9$: $2+3-(-9)=5+9=14
eq12$. Does not match.

Step5: Test fourth equation

Left side: $7+12=19$. Right side: $12-(-9)=21$. $19
eq21$. Does not match.

Answer:

1. $19 = 7 + 3 - f$
2. $16 = 4 + 3 - f$