Question

Adelle solved the equation 4x/7-6=-20 as shown. Fill in the correct justification for each step

Answer 1

Adelle steps:

$\frac{4x}{7} - 6 = -20$

$\frac{4x}{7} = -14$

$4x = -98$

$x = -24.5$

Answer:

See Explanation Below

Step-by-step explanation:

Given

$\frac{4x}{7} - 6 = 20$

Required

Justify each step

Step 1:

$\frac{4x}{7} - 6 = -20$

This is the question in its original form

Step 2:

$\frac{4x}{7} = -14$

Here she performed addition property of an equation by adding 6 to both sides of step 1.

This is shown below

$\frac{4x}{7} - 6 +6 = -20 + 6$

$\frac{4x}{7} = -14$

Step 3:

$4x = -98$

Here she performed multiplication property of an equation by multiplying  both sides of step 2 by 7

This is shown below

$7 * \frac{4x}{7} = -14 * 7$

$4x = -98$

Step 4:

$x = -24.5$

Here she also performed multiplication property of an equation by multiplying  both sides of step 3 by ¼

This is shown below

$\frac{1}{4} * 4x = -98 * \frac{1}{4}$

$x = -24.5$