Question

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Answer 1

multiply the 3 by everything in the ( ) first

Answer 2

so step 1 is wrong?

Answer 3

yes

Answer 4

3(3y-8) = 3*3y-3*8

Answer 5

that's what we mean by using the distributive property

Answer 6

This would give us the following:

9y-24 = 10+3y

now the idea here would be to get the y's on the same side.

Answer 7

so which step is wrong?

Answer 8

@Photon336

Answer 9

Step one is wrong

Answer 10

thanks

Answer 11

which step is correct? @Photon336

Answer 12

hello? @Photon336

Answer 13

@Photon336

Answer 14

@Photon336

Answer 15

@Photon336

Answer 16

If you mean if 3*3y - 3*8 is the same as (3*3y) - 3*8, yes it is.
Using order of operations, you would still simplify to 9y - 24

Answer 17

Because the first step is wrong the others are too.

Answer 18

we need to start with

9y-24 = 10+3y

Answer 19

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Step 2: 9y − 24 = 10 + 3y

Step 2: 6y + 11 = 10 + 4y

Step 3: 6y − 8 = 3(6 + y)

Step 3: 3(3y − 8) = 7 + y

Answer 20

i put options now is it B or A?

Answer 21

hurry dude i just need this one awnser i want to sleep plz @Photon336

Answer 22

@Photon336

Answer 23

@Photon336

Answer 24

@Photon336

Answer 25

step 1 is wrong

Answer 26

i know but which one is right..............

Answer 27

ok let me think

Answer 28

idk man srry

Answer 29

:(* ok

Answer 30

So do you know what step 2 should be?