Question

a partial solution of the equation $5|9x - 3| - 162 = 138$ is shown in the table.

step #
2.	$5	9x - 3	= 300$
3.	$	9x - 3	= \square$
4.	$9x - 3 = -60$ and $9x - 3 = 60$
5.	$9x = \square$ and $9x = \square$
6.	$x = \square$ and $x = 7$

complete each blank with the correct value. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Solve for |9x - 3|

From step 2: \(5|9x - 3| = 300\), divide both sides by 5.
\(\frac{5|9x - 3|}{5} = \frac{300}{5}\)
\(|9x - 3| = 60\)

Step2: Solve for 9x (first equation)

From step 4: \(9x - 3 = -60\), add 3 to both sides.
\(9x - 3 + 3 = -60 + 3\)
\(9x = -57\)

Step3: Solve for 9x (second equation)

From step 4: \(9x - 3 = 60\), add 3 to both sides.
\(9x - 3 + 3 = 60 + 3\)
\(9x = 63\)

Step4: Solve for x (first equation)

From step 5: \(9x = -57\), divide both sides by 9.
\(x = \frac{-57}{9} \approx -6.3\) (rounded to nearest tenth)

Answer:

Step 3: \(60\)
Step 5: \(-57\), \(63\)
Step 6: \(-6.3\)