Question

The solution to 3x - 7 = 14 is also a solution of which of the following equations?2 x + 12 = 283 x - 9 = 184 x - 12 = 165 x - 6 = 44

Answer 1

`4x-12=16`

Step-by-step explanation

First, let us solve the given equation:

`\begin{gathered} 3x-7=14 \\ 3x=14+7 \\ 3x=21 \\ x=(21)/(3) \\ \\ x=7 \end{gathered}`

Now, we have to find the equation whose solution is 7.

To do this, substitute the value of x into each of the equations. The equation whose left and right sides are equal is the correct equation.

For the first option:

`\begin{gathered} 2(7)+12=28 \\ 14+12=28 \\ 26=28 \end{gathered}`

That is not the correct answer.

For the second option:

`\begin{gathered} 3(7)-9=18 \\ 21-9=18 \\ 12=18 \end{gathered}`

That is not the correct answer.

For the third option:

`\begin{gathered} 4(7)-12=16 \\ 28-12=16 \\ 16=16 \end{gathered}`

Since both sides of the equation are equal, that is the correct equation.

The correct answer is the third option.