Answer: Only (5,4)
Explanation:
Our equation is 2x+4y=6x-y. First, let's solve for x.
You can subtract 2x from 6x, becoming 4y=(6x-2x)-y which is 4y=4x-y. Then, you can add y, becoming (4y+y)=4x. 5y=4x, and, because we are solving for x, you divide by 4, becoming 5y/4=4x/4, or x=5y/4.
The choices below are (4,5) and (5,4), and we can plug each into x=5y/4 to see if they are a solution to the equation. Starting with (4,5), 4=5*5/4, which becomes 4=25/4. (4,5) is not a solution. With (5,4), however, 5=5/4*4, and the 4s cancel, becoming 5=5.