Question

the following table shows the steps involved in solving a linear equation. which of the following properties correctly fills in the missing step used to get the equation in its corresponding form?

equation	steps
$x + 8 = \frac{2}{3}$	?
$x = -\frac{22}{3}$	subtraction property of equality

show your work here

\\(\bigcirc\\) addition property of equality \\(\bigcirc\\) subtraction property of equality
\\(\bigcirc\\) multiplication property of equality \\(\bigcirc\\) division property of equality
\\(\bigcirc\\) symmetric property of equality

Explanation:

Step1: Recall properties of equality

The original equation is \(3(x + 8)=2\). To get to \(x + 8=\frac{2}{3}\), we need to perform an operation on both sides of the equation.

Step2: Identify the operation

We divide both sides of the equation \(3(x + 8)=2\) by 3. By the division property of equality, if \(a = b\), then \(\frac{a}{c}=\frac{b}{c}\) (where \(c
eq0\)). Here, \(a = 3(x + 8)\), \(b = 2\), and \(c = 3\). So dividing both sides by 3 gives \(x + 8=\frac{2}{3}\).

Answer:

Division property of equality