Question

can you solve the equation
3/4 (6x + 9 ) = 14
by using the division property of equality? explain

Answer 1

sure can

but can you get started?

Answer 2

im not sure, first time seeing a question like this.

Answer 3

ok can you distribute ?

Answer 4

just have to explain how it can be solved. can you distribute with a fraction?

Answer 5

yes

Answer 6

go ahead and do that

Answer 7

.75(6x) + .75(9) ?

Answer 8

yes or you can write it this way \[\frac{3}{4}*6x+\frac{3}{4}*9\]

now can you simplify this
\[\frac{3}{4}*6x+\frac{3}{4}*9=14\]

Answer 9

4.5x + 6.75 = 14
4.5x + 6.75 - 6.75 = 14 - 6.75
4.5x = 7.25 ?

Answer 10

yea, then divide both sides by 4.5

Answer 11

ok then

Answer 12

@AriPotta give him a chance

Answer 13

what do you mean? :l i'm just telling him the next step

Answer 14

well, the lasts tep is always simplification, so :P

Answer 15

4.5x = 7.25
now divide by 4.5 what do you get?

Answer 16

1.6

Answer 17

personally, i'd change everything back into a fraction. because your answer as a decimal would be repeating

Answer 18

we have to show it like that, its very annoying.

Answer 19

oh, it has to be a decimal?

Answer 20

if its done any other way, it is counted wrong, even if the answer is correct

Answer 21

wow, that's stupid.

Answer 22

yup..

Answer 23

(6x + 9 ) = 14
\[\frac{3}{4}6x + \frac{3}{4}9=14\]
\[\frac{18}{4}x + \frac{27}{4}=14\]
\[\frac{18}{4}x =14- \frac{27}{4}\]
\[\frac{18}{4}x =\frac{29}{4}\]
\[x =\frac{29}{4}*\frac{4}{18}\]
\[x =\frac{29}{18}\]