Question

2f-3
---- = -11 Please explain how to solve
7

Answer 1

first, multiply both sides by 7
can you do that ?

Answer 2

phil i had this one IN THE BAG :[ go on take it

Answer 3

@phi -77

Answer 4

yes on the right side you get -77
if you multiply the left side by 7 what do you get ? any idea ?

Answer 5

It doesn't cancel out? 49

Answer 6

I mean simplify
\[ 7 \cdot \frac{(2f-c)}{7} \]

Answer 7

remember you can also write that as
\[ \frac{7}{7} \cdot (2f-c) \]
what is 7/7 ?

Answer 8

0?

Answer 9

anything divided by itself is 1

Answer 10

wait, 1?

Answer 11

o

Answer 12

yes 1
so you have
\[ 1\cdot (2f-3) = -77\]
1 times anything is the anything. in other words, we can write it as
\[ 2f-3= -77\]

(some how I change the 3 to a c up above. but it's a 3)

Answer 13

2f-3= -77
now write +3 on both sides
can you do that ? what do you get ?

Answer 14

2f=-74

Answer 15

last step, divide both sides by 2
notice on the left side you will get 2/2 * f

Answer 16

f=-37

Answer 17

right?

Answer 18

we can check by "putting in -37" for f in the original problem:
\[ \frac{2\cdot -37 -3}{7} = -11 \]
and see if if the left side simplifies to -11

Answer 19

2*-37 -3 is -74 -3 = -77
and -77/7 is -11
so it looks good.

Answer 20

yep, thank you!