Question

is the following always, sometimes or never true? MEDAL

Answer 1

\[6+8x-9=11x+14-3x\]

Answer 2

i know the next step is this

Answer 3

first simplify each side

Answer 4

\[-3+8=8x+14\]

Answer 5

\[+3 +8x=8x+3\]

Answer 6

left hand side is wrong
take another look

Answer 7

now im confused

Answer 8

you can only simplify like terms
so LHS =
6 - 9 + 8x
= -3 + 8x
= 8x - 3

(the order does not matter - i uust put the positive value first

Answer 9

in a similar fashion RHS = 8x + 14

now are the 2 sides equal?

Answer 10

well thats what i put just in a different order

Answer 11

yea ok - only you confused me since you put -3 + 8

Answer 12

so am i still right?

Answer 13

this is where i got to, and got confused... if you add the opposite it cancels out the 8x... what do i do!

Answer 14

what you have done is correct

- and you have ended up with an absurdity 8x cannot be equal to 8x + 14
- so the original statement can never be true

Answer 15

thank you!

Answer 16

yw