Question

$\frac{c}{13} + 16 = 17$

$\frac{c}{13} = 1$

$c = $

add 16 to both sides
subtract 16 from both sides
multiply both sides by 16
divide both sides by 16
apply the distributive property

Explanation:

First, determine the operation to get from \(\boldsymbol{\frac{c}{13}+16 = 17}\) to \(\boldsymbol{\frac{c}{13}=1}\)

Step1: Identify the operation

To isolate \(\frac{c}{13}\), we need to remove the \(+ 16\) from the left - hand side. According to the subtraction property of equality, if we subtract 16 from both sides of the equation \(\frac{c}{13}+16 = 17\), we get:
\(\frac{c}{13}+16 - 16=17 - 16\)
Simplifying both sides, we have \(\frac{c}{13}=1\). So the operation is "Subtract 16 from both sides".

Step2: Solve for \(c\)

Now that we have \(\frac{c}{13}=1\), to solve for \(c\), we use the multiplication property of equality. Multiply both sides of the equation \(\frac{c}{13}=1\) by 13:
\(\frac{c}{13}\times13 = 1\times13\)
Simplifying, we get \(c = 13\).

Answer:

The operation to get from \(\frac{c}{13}+16 = 17\) to \(\frac{c}{13}=1\) is "Subtract 16 from both sides" and the value of \(c\) is \(13\).