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.

The value of x is:

The value of y is:

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.

The value of x is:

The value of y is:

anonymous · Answer

Can you help explain so I know how to it do in case I get another similar question like this?

vocaloid · Answer

the basic rule is just to get x by itself

start with 

Equation 1: 3/4 (x − 12)=12

distribute the (3/4)

(3/4)(x-12) = ?

vocaloid · Answer

uh not quite...

vocaloid · Answer

hint:

A(B-C) = A*B - A*C

(3/4)(x-12) = _________

follow the pattern

anonymous · Answer

9? im not sure im having a hard time understanding these questions sorry if i'm making you overwhelmed or anything its not my intentions honestly.

vocaloid · Answer

|dw:1449622551250:dw|

vocaloid · Answer

|dw:1449622577041:dw|

vocaloid · Answer

meaning that A = 3/4, B = x, C = 12

now find A*B - A*C

anonymous · Answer

so 3/4 * x and 3/4 *12

vocaloid · Answer

yes

that gives us

(3/4)x- 9

now we have

(3/4)x - 9 = 12

now solve for x

anonymous · Answer

o:

vocaloid · Answer

(3/4)x - 9 = 12

add 9 to both sides

anonymous · Answer

to 3/4 and 9?

vocaloid · Answer

no, you can't add 9 to (3/4) since (3/4) is attached to x

vocaloid · Answer

(3/4)x - 9 + 9 = ?

anonymous · Answer

(3/4)x - 18 = 12

vocaloid · Answer

nope

-9 + 9 = ?

anonymous · Answer

attachment

vocaloid · Answer

good. 

so what is (3/4)x - 9 + 9 ?

anonymous · Answer

(3/4)x = 12??

vocaloid · Answer

almost

you also need to add 9 to the right side

vocaloid · Answer

(3/4)x - 9 = 12

becomes

(3/4)x = 12 + 9 = 21

with me so far?

anonymous · Answer

yes

vocaloid · Answer

good

(3/4)x = 21

now solve for x

anonymous · Answer

28

vocaloid · Answer

good. so x = 28

ready for equation 2?

anonymous · Answer

Thank you and yes

vocaloid · Answer

3/4 y − 12=12

again, we want to get y by itself

start by adding 12 to both sides

anonymous · Answer

3/4 y - 12 + 12

anonymous · Answer

so um 3/4 y - 12 = 12

anonymous · Answer

@Vocaloid am i right or am i speaking nonsense?

vocaloid · Answer

not quite

(3/4)y - 12 + 12 = ??

anonymous · Answer

sorry @Vocaloid connection is bad right now but i fixed it um (3/4)y - 12??

anonymous · Answer

am i right? sorry for bothering you i just need help @Vocaloid

vocaloid · Answer

the - 12 and the 12 cancel out...

(3/4)y - 12 + 12 = 12 + 12

(3/4)y = 24

solve for y

anonymous · Answer

32 @Vocaloid

vocaloid · Answer

good

anonymous · Answer

Thank you @Vocaloid for your patience and kindness (: take this medal as my appreciate

vocaloid · Answer

no problem, feel free to tag me anytime if I'm online