Question

Help?

Answer 1

Question?

Answer 2

Question 4:


Two equations are shown:
• Equation 1:

3/4 (x−12)=12
•Equation 2:


3/4 y−12=12

Solve each equation. Then, enter a number in each box to make this statement true.

Answer 3

Ok, let's solve the first equation. Do you know what the first step would be?

Answer 4

Subtract 12-12?

Answer 5

No. Why would you think that?

Answer 6

That's what we learned in the lesson. Would I add 12 +12?

Answer 7

Well the first equation looks like this right? \[\large \sf \frac{3}{4}(x-12)=12\]

Answer 8

Yes

Answer 9

Then your first step is to distribute the \(\large \sf \frac{3}{4}\) onto the x and the -12.

Answer 10

How do I do that?

Answer 11

The distributive property. \[\large \sf a(x+y)=ax+ay\]

Answer 12

so it would be 3/4*x + 3/4*12

Answer 13

?

Answer 14

@linksonic1 I'm back to help

Answer 15

Okay thanks :)

Answer 16

So yes, your previous statement looks correct. So what would you get with that multiplication?

Answer 17

for 3/4*12 you get 9

Answer 18

Correct, and what about 3/4*x?

Answer 19

I don't know. How would I solve it without knowing what x is?

Answer 20

It was a bit of a trick question. All you would get is \(\large \sf \frac{3}{4}x\)

Answer 21

oooohh . Okay that's what I thought

Answer 22

haha, so it would now look like this \[\large \sf \frac{3}{4}x-9=12\] Now what would the next step be?

Answer 23

Now do I subtract the 12 and the 9 to get 3?

Answer 24

Well we want to get the 9 to the other side. So we will do the opposite of what it is now. Since the 9 is negative now, that means we will ADD 9 on both sides.

Answer 25

Okay so I will have a 18 where the 9 was and a 21 where the 12 was.

Answer 26

Almost. What is 9+(-9)?

Answer 27

0

Answer 28

Correct. So what you would get is a 0 where the 9 was and a 21 where the 12 was. \[\large \sf \frac{3}{4}x=21\]

Answer 29

So now I do 21 divided by 3/4?

Answer 30

In effect, yes. But when you want to divide a fraction, what you really do is multiply by it's reciprocal.

Answer 31

So 4/3*21

Answer 32

yep.

Answer 33

x = 28?

Answer 34

Correct :)

Answer 35

Yay thank you and would the answer be the same without the parenthesis?

Answer 36

No, because then you wouldn't distribute.