Question

select all of the equations below that are equivalent to:
$c - 26 = -4$
use properties of equality.
$\frac{c - 26}{-2} = 3$ $\frac{c - 26}{-2} = 2$
$\frac{c - 26}{2} = -3$ $\frac{c - 26}{2} = -2$

Explanation:

Step1: Identify original equation

$c - 26 = -4$

Step2: Test first option

Divide original by $-2$: $\frac{c-26}{-2}=\frac{-4}{-2}=2$. So $\frac{c-26}{-2}=3$ is invalid.

Step3: Test second option

From Step2, $\frac{c-26}{-2}=2$ matches. Valid.

Step4: Test third option

Divide original by $2$: $\frac{c-26}{2}=\frac{-4}{2}=-2$. So $\frac{c-26}{2}=-3$ is invalid.

Step5: Test fourth option

From Step4, $\frac{c-26}{2}=-2$ matches. Valid.

Answer:

$\frac{c - 26}{-2} = 2$, $\frac{c - 26}{2} = -2$