Question

x - 2 and 5/7 = 2/3
Answer Options I got:
(A) 2 and 1/21
(B) 2 and 8/21
(C) 3 and 1/3
(D) 3 and 8/21
I'm so stumped.

Answer 1

i got A

Answer 2

Why not D

Answer 3

x-2+(5/7)=2/3
x-2(7/7)+(5/7)=2/3
x-(14/7)+(5/7)=2/3
x+(5-14)/7=2/3
x-(9/7)=2/3
x+(9/7)-(9/7)=(2/3)+(9/7)
x=(2/3)(7/7)+(9/7)(3/3)
x=(14/21)+(27/21)
x=(14+27)/21
x=41/21
x=2-1/21

Answer 4

2-(1/21)

Answer 5

5 2
x - 2 -- = --
7 3

Answer 6

ahh i did it wrong so yea its whatever radar said

Answer 7

sorry i thought the and meant '+' my bad

Answer 8

Thanks for the help anyways:D

Answer 9

I am trying to figure where jahtoday erred. His work looks good at least as far as I have followed it (down to the 3rd line)

Answer 10

i did
x-2+5/7 instead of x-2-5/7
also i ddnt get a valid answer choice

Answer 11

Oh I see it at the beginning. Yes a sign problem! It was laid out nice. step by step.

Answer 12

@ jahtoday
\[\frac{41}{21}=1+\frac{20}{21} \]

Answer 13

or 2-1/21

Answer 14

2-1/21=42/21-1/21=41/21

Answer 15

This is the form I intended.\[1\frac{20}{21} \]Pronounced, "One and twenty twenty- firsts." Never encountered the word "and" in the context of this problems's answer list to mean subtract.