Determine whether the ordered pair (-5,2) is a solution of the following system of equations. Remember to use alphabetical order of variables..X+ 5y = 5y = 2x + 8Is (-5,2) a solution to the system of equations?O A. Yes, (-5,2) is a solution because the ordered pair (-5,2) makes both equations false.O B. No, (-5,2) is not a solution because the ordered pair (-5,2) makes the first equation true but the second equation false.OC. Yes, (-5,2) is a solution because the ordered pair (-5,2) makes both equations true.OD. No.(-5,2) is not a solution because the ordered pair (-5,2) makes the second equation true but the first equation false.

In order to check if the ordered pair (-5, 2) is a solution of this system, let's use the value of x = -5 and y = 2 in each equation and check if the result is true or false:

[tex]\begin{gathered} x+5y=5 \\ -5+5\cdot2=5 \\ -5+10=5 \\ 5=5\text{ (True)} \\ \\ y=2x+8 \\ 2=2\cdot(-5)+8 \\ 2=-10+8 \\ 2=-2\text{ (False)} \end{gathered}[/tex]

Since the ordered pair is a solution to the first equation but is not a solution to the second equation, so it's not a solution to the system.

Therefore the correct option is B.