Question

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.
please help

Answer 1

please help

Answer 2

@Vocaloid please help

Answer 3

Do you mean

\(\dfrac{3}{4}(x - 12) = 12\) ?

Answer 4

yes

Answer 5

Then the first thing you need to do is to get rid of the 3/4 from the left side.
To do that, multiply both sides by 4/3

Answer 6

do i multiply 4/3

Answer 7

\(\dfrac{4}{3} \times \dfrac{3}{4}(x - 12) = \dfrac{4}{3} \times 12\)

Answer 8

\(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}(x - 12) = 16\)

Answer 9

Now you have simply:

\(x - 12 = 16\)

Answer 10

what is the value of X

Answer 11

Now what do you need to do to get rid of the -12 on the left side?

Answer 12

Since 12 is being subtracted from x, you do the opposite operation, which is add 12.
You must do the same operation to both sides of an equation, so you add 12 to both sides.

Answer 13

\(x - 12+12 = 16+12\)

\(x = 28\)

Answer 14

that mean the value of X =28

Answer 15

Yes.

Answer 16

For the second equation, you have y instead of x, but also no parentheses, right?

Answer 17

then what is the value of Y

Answer 18

Is this the second equation?

\(\dfrac{3}{4}y - 12 = 12\)

Answer 19

y = 12

Answer 20

Are you sure?

Answer 21

no

Answer 22

i think it is cuz u have to divide

Answer 23

Let's do it.
Did I write the second equation correctly?
Is the second equation like the first equation except you have y instead of x and no parentheses?

Answer 24

yes

Answer 25

\(\dfrac{3}{4}y - 12 = 12\)

First, we need to get rid of the -12, so we add 12 to both sides.

\(\dfrac{3}{4}y - 12 + 12 = 12 + 12\)

\(\dfrac{3}{4}y = 24\)

Do you follow so far?

Answer 26

yes

Answer 27

srry took a 5 min nap

Answer 28

Now we need to get rid of the 3/4 multiplying x, so we divide both sides by 3/4.
Dividing by a fraction is the same as multiplying by its reciprocal.
We now multiply both sides by 4/3, the reciprocal of 3/4.

Answer 29

multiply 4/3

Answer 30

\(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}y = \dfrac{4}{3} \times 24\)

\(y = 32\)

Answer 31

As you can see, having or not having the parentheses in the original equation makes a difference in the answers.

Answer 32

thanks alot

Answer 33

You're welcome.

Answer 34

i have one more

Answer 35

can you help?