Question

Given real numbers m,n,p, and q with n,p and q being rational, and such that
m/3 + 3/2n = 4p - q/2,
show that m must be a rational number too.

Answer 1

\[\frac{m}{3} + \frac{3n}{2} = 4 p - \frac{q}{2}\]

Answer 2

thats the equation, right?

Answer 3

Yes

Answer 4

so you just need to prove that you can express m as a fraction

Answer 5

write n, p, and q in fraction form and then isolate m. As long as m is equal to a fraction, then it must be also a rational number

Answer 6

Ah, I think I got it. Thanks.