Step-by-step explanation:
[tex]given \: - 5n = 4m[/tex]
making m the subject first by dividing through by 4
[tex] \frac{ - 5}{n} = \frac{4m}{4} [/tex]
[tex]m = \frac{ - 5n}{4} [/tex]
from the question, given n = -1 ,0 ,1
so when n= -1
[tex]m = \frac{ - 5( - 1)}{4} [/tex]
[tex]m = \frac{5}{4} [/tex]
when n=0
[tex]m = \frac{ - 5(0)}{4} [/tex]
[tex]m = \frac{0}{4} [/tex]
[tex]m = 0[/tex]
when n=1
[tex]m = \frac{ - 5(1)}{4} [/tex]
[tex]m = \frac{ - 5}{4} [/tex]
