Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1

Sagot :

charliethebest2002

Answer:

⇒ A. 2 should be distributed as 2y + 12, y = 6

Step-by-step explanation:

Here are the steps to solve this equation:

Given:

First step: 2(y+6)-4y

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

[tex]\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}[/tex]

Solve.

Divide the numbers from left to right.

Solutions:

-12/-2=6

[tex]\Longrightarrow: \boxed{\sf{y=6}}[/tex]

  • Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".

I hope this helps. Let me know if you have any questions.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.