Respuesta :

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

[tex]\frac{2}{3}x-\frac{1}{2}y=6[/tex]

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

[tex]\frac{2*6}{3}x-\frac{1*6}{2}y=6*6[/tex]

[tex]\frac{12}{3}x-\frac{6}{2}y=36[/tex]

3. When you simplify the equation, you obtain the following equivalent equation:

[tex]4x-3y=36[/tex]