Question

select all of the equations below that are equivalent to:
$uv = 13$
use properties of equality.
$uv - 4 = 9$ $uv - 6 = 7$
$uv - 7 = 7$ $uv - 10 = 3$

Explanation:

Step1: Test first equation

Start with $uv=13$, subtract 4: $uv-4=13-4=9$. This matches $uv-4=9$.

Step2: Test second equation

Start with $uv=13$, subtract 6: $uv-6=13-6=7$. This matches $uv-6=7$.

Step3: Test third equation

Start with $uv=13$, subtract 7: $uv-7=13-7=6$. This does not match $uv-7=7$.

Step4: Test fourth equation

Start with $uv=13$, subtract 10: $uv-10=13-10=3$. This matches $uv-10=3$.

Answer:

A. $uv - 4 = 9$
B. $uv - 6 = 7$
D. $uv - 10 = 3$