Question

For the following pairs of equations explain why the equations are equivalent. (Or Not)-3(2x+9)=122x+9=-4

Answer 1

The pair of equations are equivalent.

Step-by-step explanation:

Given the pair of equations

`\begin{gathered} -3\mleft(2x+9\mright)=12 \\ 2x+9=-4 \end{gathered}`

If we take the first equation

`-3\mleft(2x+9\mright)=12`

Divide both sides by -3.

`\begin{gathered} -(3\mleft(2x+9\mright))/(-3)=(12)/(-3) \\ 2x+9=-4 \end{gathered}`

The result is the second equation.

Therefore, the pair of equations are equivalent.