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Answer:

No, (2, 5) is not a solution to this system

Step-by-step explanation:

x + 2y  = 4     keep the same        

x - y     = -5     Multiply  by 2

    x + 2y =  4

+  2x - 2y = -10  

   3x        = -6

     x = -2

  Substitute x = -2 into equation 1 and solve for y

       x + 2y = 4

       -2 + 2y = 4                                    Solution is (-2, 3)

           2y = 4+ 2

            2y = 6    y = 3

Test point (2, 5)

          x + 2y = 4                                    x - y = -5

         2 + 2(5) = 4                                  2 -(5) = -5

         2 + 10 = 4                                      -3 = -5         Not true

          12 = 4       Not true

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