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. please any help?

Answer 1

Lorena made mistakes in solving the equation by combining like terms incorrectly and not finding the correct solution. The correct solution to the equation is k = -6, which was determined by properly distributing, combining like terms, and isolating the variable.

Step-by-step explanation:

Analyzing Lorena's work from the student's question shows there are some correct steps and some that are incorrect. Let's look at each statement:

Now, let's correct Lorena's work:

To check if the solution is reasonable, plug k = – 6 back into the original equation and see if it equals zero:

5(– 6) – 3(2(– 6) – 1) – 9 = 0

– 30 – 3(– 12 – 1) – 9 = 0

– 30 + 36 + 3 – 9 = 0

0 = 0, which confirms the solution k = – 6 is correct.

Answer 2

step 1 and step 4

Step-by-step explanation:

got it right on edge