Question

how do you do this problem y over -6 +5=9 by step by step

Answer 1

\[\frac{ y }{ -6} +5=9\]

Answer 2

the answers are A.24 B.-24 C.78 D.-78

Answer 3

Hello! Welcome to OpenStudy! To do this, we need to isolate y on the left side of the equal sign. To start that, first we need to subtract 5 from both sides. Can you show me that?

Answer 4

so i subtract 5 from 9

Answer 5

Yep :)

Answer 6

so it would be like this \[\frac{ y }{ -6 }=4\]

Answer 7

\(\dfrac y{-6} + 5 - 5 = 9 - 5\)
+ 5 - 5 = 0
9 - 5 = 4
That gives us \(\dfrac y{-6} = 4\)

Answer 8

Good! You're ahead of me already haha :)

Answer 9

Now, we need to cancel out -6. We subtracted 5 to cancel out addition, so we divide by -6 to cancel the multiplication. Does that make sense?

Answer 10

Bruh, did you read what you wrote?

Answer 11

Whoops, my mind was a little backwards, we multiply by -6 to cancel the division

Answer 12

that does not make sense

Answer 13

so y =24

Answer 14

Close, don't forget there's a negative sign :)

Answer 15

i mean -24

Answer 16

Yep :3

Answer 17

lol thanks

Answer 18

can you help me out on one more please

Answer 19

Sure!

Answer 20

its 4(x+1)+8=24

Answer 21

Okay, for this one, let's distribute the 4 first

Answer 22

so you subtract 4 from both sides ?

Answer 23

Not really... Focus on the 4(x + 1). We need to multiply 4*x and 4*1

Answer 24

oh okay

Answer 25

so it would be 4x+5

Answer 26

So after doing that, we have 4x + 4 + 8 = 24. This will be easier if we combine the 4 + 8, giving 4x + 12 = 24.

Answer 27

its 4x+5+8=24

Answer 28

What is 4 * 1?

Answer 29

oh lol sorry

Answer 30

Anything multiplied by 1 is itself :)

Answer 31

It's fine

Answer 32

so it would be 4x+12=24

Answer 33

Yep :) Now this is just like the last one. How do we cancel the +12 on the left side?

Answer 34

so we subtract the 4 on both sides

Answer 35

We're not quite there yet, we need to cancel the 12 first

Answer 36

how do i do that

Answer 37

sorry i keep forgetting because my daughter keeps distracting me

Answer 38

Oh no! I'm so sorry! I went to go get my math book and got distracted. Basically, whenever we need to cancel something, we want to do that opposite of what is originally being done. If we're adding, subtract that amount; if we're subtracting, add that amount; if we're multiplying, divide by that number; if we're dividing, multiply by that number.

Answer 39

ok

Answer 40

so how do i cancel out the 12

Answer 41

@sleepyjess