If m and n are integers such that 2m-n=3 what are the possible values of m-2n?

[a]-3 only

[b] 0 only

[c] only multiples of 3

[d]any integer

[e] none of these

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- October 26th 2006, 07:30 PMRimasMupltiple Choice
If m and n are integers such that 2m-n=3 what are the possible values of m-2n?

[a]-3 only

[b] 0 only

[c] only multiples of 3

[d]any integer

[e] none of these - October 26th 2006, 07:41 PMThePerfectHacker
- October 26th 2006, 08:46 PMSoroban
Hello, Rimas!

Another approach . . .

Quote:

If and are integers such that ,

what are the possible values of ?

[a] -3 only . . [b] 0 only . . [c] only multiples of 3

. . . [d] any integer . . [e] none of these

We are given: .

Then

Therefore, must be a multiple of 3 . . . answer choice (c)