Question

Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below. 5k – 6k + 2 – 9 = 0 –k – 7 = 0 –k = 7 k = Analyze Lorena’s work to determine which statements are correct. Check all that apply. In Step 1, she correctly distributed –3 to the parentheses. In Step 2, she combined like terms 5k and 2k. In Step 3, she applied the multiplication property of equality to isolate the variable term. In Step 4, she should have multiplied both sides by –1 to isolate the variable. Lorena found the correct solution to the linear equation.

Answer 1

Answer:

8

Step-by-step explanation:

Answer 2

Complete question:

Lorena solved the equation 5k – 3(2k – 2/3 ) – 9 = 0

Answer:

The correct solution to the linear equation is k = -7

Solution:

We have been given an equation:

$5k-3(2k-\frac{2}{3})-9=0$

Step 1:

she correctly distributed –3 to the parentheses

This step is correct

Therefore, she got,

5k - 6k + 2 - 9 = 0

Step 2:

In Step 2, she combined like terms 5k and 2k

But this is incorrect

She combined like terms 5k and -6k

Thus, she got,

-k + 2 - 9 = 0

-k -7 = 0

Step 3:

In Step 3, she applied the multiplication property of equality to isolate the variable term

This statement is incorrect

She applied addition property of equality

-k - 7 + 7 = 0 + 7

-k = 7

Step 4:

In Step 4, she should have multiplied both sides by –1 to isolate the variable.

This step is correct

k = -7

Thus the correct solution to the linear equation is k = -7

Learn more about this topic

Zoe is solving the equation 3x – 4 = –10 for x.

She used the addition property of equality to isolate the variable term as shown.

3x - 4 = -10

3x - +4 +4 = -10 + 4

3x = -6

Which two properties of equality could Zoe use to finish solving for x?

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