Question

Can you help ne solve theses two.2 2/9 = -4/5m-2 4/5 = -3 1/2n

Answer 1

Solving the first equation for m, we have:

`\begin{gathered} 2(2)/(9)=-(4)/(5)m \\ (2+(2)/(9))=-(4)/(5)m \\ ((18+2)/(9))=-(4)/(5)m \\ (20)/(9)=-(4)/(5)m \\ (4)/(5)m=-(20)/(9) \\ (m)/(5)=-(5)/(9) \\ 9m=-25 \\ m=-(25)/(9) \end{gathered}`

Now, solving the second equation for n, we have:

`\begin{gathered} -2(4)/(5)=-3(1)/(2)n \\ (-2-(4)/(5))=(-3-(1)/(2))n \\ ((-10-4)/(5))=((-6-1)/(2))n \\ -(14)/(5)=-(7)/(2)n \\ (2)/(5)=(1)/(2)n \\ 5n=4 \\ n=(4)/(5) \end{gathered}`