Question

Select all of the equations below that are equivalent to this

Answer 1

All of the Options

Explanation:

We want to find which options are equivalent to the equation:

`(7)/(y)=12`

Option 1

`\begin{gathered} (7)/(y)-9=3 \\ \text{Add 9 to both sides} \\ (7)/(y)-9+9=3+9 \\ (7)/(y)=12 \end{gathered}`

Option 2

`\begin{gathered} (7)/(y)-5=7 \\ \text{Add 5 to both sides} \\ (7)/(y)-5+5=7+5 \\ (7)/(y)=12 \end{gathered}`

Option 3

`\begin{gathered} (7)/(y)-10=2 \\ \text{Add 10 to both sides} \\ (7)/(y)-10+10=2+10 \\ (7)/(y)=12 \end{gathered}`

Option 4

`\begin{gathered} (7)/(y)-3=9 \\ \text{Add 3 to both sides} \\ (7)/(y)-3+3=9+3 \\ (7)/(y)=12 \end{gathered}`

All the equations can be written as the given equation.

Thus, the four equations are equivalent equations.