Question

How do I solve the problem a-59/18=4/3(a+1/3)-5/3?

Answer 1

\[a-\frac{59}{18}=\frac{4}{3}*(a+\frac{1}{3})-\frac{5}{3}\]

Answer 2

Which is it?

Answer 3

The first response, a is not above the fraction line

Answer 4

\(\large a - \frac{59}{18} = \frac{4(a + \frac{1}{3})}{3} - \frac{5}{3}\)

Answer 5

The answer that is given on the paper states it's 1/2, but I don't know how to come to that conclusion

Answer 6

Okay, I see what you did with 4/3

Answer 7

\(\large a - \frac{4(a+\frac{1}{3})}{3} = \frac{59}{18} - \frac{5}{3}\)

Answer 8

Multiply a by 3/3 and 5/3 by 6/6 to get:

\(\large \frac{3a}{3} - \frac{4(a + \frac{1}{3})}{3} = \frac{59}{18} - \frac{30}{18}\)

Are you still with me?

Answer 9

Yes

Answer 10

Combine fractions to get

\(\large\frac{3a - 4(a + \frac{1}{3})}{3} = \frac{29}{18}\)

Answer 11

Simplify the left numerator to get:

\(\large\frac{(3a - 4a - \frac{1}{3})}{3} = \frac{29}{18}\)

Answer 12

Okay

Answer 13

Simplify further to get:

\(\large\frac{-a - \frac{1}{3}}{3} = \frac{29}{18}\)

Answer 14

Extract the negative sign to get:

\(\large -\frac{a + \frac{1}{3}}{3} = \frac{29}{18}\)

Answer 15

Cross multiply to get

-18(a + 1/3) = 3(29)

Answer 16

Simplify again to get:

-18a - 6 = 87

Add 6 to both sides to get:

-18a = 93

Add 18a to both sides; subtract 93 from both sides to get

-93 = 18a

Divide both sides by 18:

Answer 17

Okay

Answer 18

\(a = -\frac{93}{18}\)

but that reduces to

\(a = -\frac{37}{6} \dot\ \frac{6}{6}\)

\(a = -\frac{37}{6} \dot\ 1\)

Answer 19

Wow your teacher wanted to torture you

Answer 20

That's the correct answer because I verified it with my calculator. Maybe you posted the problem wrong?

Answer 21

I know T_T 3 days into freshman year and I get asked to do this xd

Answer 22

We didn't get 1/2

Answer 23

Nope, well actually I've gotte nthat same answer too, it could be a fault on the question

Answer 24

Is there a way you can upload the question from the book?

Answer 25

Scan it

Answer 26

It's on a paper from school

Answer 27

Exactly, so scan it or use the drawing button below.

Answer 28

Use the drawing button below to write it out exactly how you see it.

Answer 29

Alright I'll draw it because it takes a while to scan