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(07.05 HC)

The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:

Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5

Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points)

Select one:
a. The equation should be y + 8 = 4y after division by 2; y = 4
b. The equation should be y + 8 = 4y after division by 2; y = 6
c. 2 should be distributed as 2y + 16; y = 4
d. 2 should be distributed as 2y + 16; y = 8

Respuesta :

Answer:

D

Step-by-step explanation:

  1. The equation actually goes: 2(y+8)=4y
  2. 2y+16=4y
  3. -2y      -2y    (must minus 2y from both sides)
  4. 16=2y
  5. divide both sides by 2
  6. Y=8
pierinagiusiano

Answer:

D. 2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have [tex]2(y+8)=4y[/tex] we are going to solve it step by step:

1. [tex]2(y+8)=4y[/tex]

2. We have to distribute 2, then:

[tex]2y+16=4y[/tex]

3. Now we have to sum (-2y) in both sides of the equation:

[tex]2y+16-2y=4y-2y\\16=2y[/tex]

4. Finally we have to divide both sides of the equation in 2:

[tex]16=2y\\\\\frac{16}{2}=\frac{2y}{2}\\ 8=y[/tex]

Then the correct answer is option D, in step 2: 2 should be distributed as 2y+16, and resolving the equation we obtain that y=8 .

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