Which of the following equations could be the result of using the comparison method to solve the system shown? x+y=5 2x+y=7 -x-5=7-2x 5-x=2x-7 5-x=7-2x

To solve the system of equations using the comparison method, we need to manipulate the equations so that we can compare them directly.<br /><br />Given the system of equations:<br />$x + y = 5$<br />$2x + y = 7$<br /><br />We can subtract the first equation from the second equation to eliminate $y$:<br />$(2x + y) - (x + y) = 7 - 5$<br />$2x + y - x - y = 2$<br />$x = 2$<br /><br />Now, we can substitute the value of $x$ into the first equation to find $y$:<br />$2 + y = 5$<br />$y = 3$<br /><br />So, the solution to the system of equations is $x = 2$ and $y = 3$.<br /><br />Now, let's analyze the given options:<br /><br />$-x - 5 = 7 - 2x$<br />$5 - x = 2x - 7$<br />$5 - x = 7 - 2x$<br /><br />The correct equation that could be the result of using the comparison method to solve the system is $5 - x = 7 - 2x$.