Which of the following equations could be the result of using the comparison method to solve the system show x+2y=6 x-4y=8 6-2y=4y+8 2y-6=4y+8 6-2y=-4y+8

The correct answer is:<br /><br />$6-2y=4y+8$<br /><br />Explanation:<br />The comparison method involves equating the expressions for the same variable in both equations. In this case, we can rearrange the first equation to isolate $x$:<br /><br />$x = 6 - 2y$<br /><br />Now, we can substitute this expression for $x$ into the second equation:<br /><br />$6 - 2y = 8$<br /><br />This equation can be rearranged to:<br /><br />$6 - 2y = 4y + 8$<br /><br />Therefore, the equation $6-2y=4y+8$ could be the result of using the comparison method to solve the given system of equations.