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]