Which of the following equations could be the result of using the comparison method to solve the system shown x-4y-1=0 x+5y-4=0 -4y+1=4-5y 4y+1=4-5y 4y+1=5y-4

The correct answer is: $-4y+1=4-5y$<br /><br />Explanation: The comparison method involves equating the expressions for the same variable in both equations. In this case, we can equate the expressions for $x$ in both equations:<br /><br />$x-4y-1=0$ and $x+5y-4=0$<br /><br />Subtracting the second equation from the first, we get:<br /><br />$-4y-1=5y-4$<br /><br />Simplifying, we get:<br /><br />$-4y+1=4-5y$<br /><br />Therefore, the equation $-4y+1=4-5y$ could be the result of using the comparison method to solve the given system of equations.