Eliminate the x in the following system of equations. What is the result when you add the two equations?

Given
[tex]\begin{gathered} x+y=2 \\ 3x-4y=27 \end{gathered}[/tex]Answer
Multiplying equation (1) by 3
[tex]3x+3y=6[/tex]Subtracting to equation (2)
[tex]-7y=21[/tex]Option c is correct