Respuesta :
ANSWER
[tex]4x-12=16[/tex]EXPLANATION
First, let us solve the given equation:
[tex]\begin{gathered} 3x-7=14 \\ 3x=14+7 \\ 3x=21 \\ x=\frac{21}{3} \\ \\ x=7 \end{gathered}[/tex]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:
[tex]\begin{gathered} 2(7)+12=28 \\ 14+12=28 \\ 26=28 \end{gathered}[/tex]That is not the correct answer.
For the second option:
[tex]\begin{gathered} 3(7)-9=18 \\ 21-9=18 \\ 12=18 \end{gathered}[/tex]That is not the correct answer.
For the third option:
[tex]\begin{gathered} 4(7)-12=16 \\ 28-12=16 \\ 16=16 \end{gathered}[/tex]Since both sides of the equation are equal, that is the correct equation.
The correct answer is the third option.
