Question

Which of the following equations have a solution of n = 2 1/4

Answer 1

Substitute n = 2 1/4 to each of the expression to determine if they are true.

`\begin{gathered} 2n+3=7(1)/(2) \\ 2(2(1)/(4))+3=7(1)/(2) \\ 4(1)/(2)+3=7(1)/(2) \\ 7(1)/(2)=7(1)/(2)\text{ \lparen true\rparen} \end{gathered}`
`\begin{gathered} 4n=9 \\ 4(2(1)/(4))=9 \\ 9=9\text{ \lparen true\rparen} \end{gathered}`
`\begin{gathered} n-2(1)/(4)=0 \\ 2(1)/(4)-2(1)/(4)=0 \\ 0=0\text{ \lparen true\rparen} \end{gathered}`
`\begin{gathered} 2(1)/(4)n=0 \\ 2(1)/(4)(2(1)/(4))=0 \\ (81)/(16)0\text{ \lparen false\rparen} \end{gathered}`
`\begin{gathered} n/(1)/(2)=(1)/(8) \\ 2(1)/(4)/(1)/(2)=(1)/(8) \\ 1(1)/(8)(1)/(8)\text{ \lparen false\rparen} \end{gathered}`

Therefore, the equations that satisfy the solution are

`\begin{gathered} 2n+3=7(1)/(2) \\ 4n=9 \\ n-2(1)/(4)=0 \end{gathered}`