Question

solve the system using elimination 4x+7y=23 5x+2y=-25

Answer 1

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 4 x + 7 y = 23           ------------------------------ equation 1

 5 x + 2 y = - 25            ---------------------------- equation 2

Multiplying equation 1 by 2 and 7 to equation 2,

 8 x + 14 y = 46              ------------------- equation 3 

 35 x + 14 y = - 175        ------------------ equation 4

By subtracting equation 3 from equation 4 ,

  35 x + 14 y - 8 x - 14 y = - 175 - 46

  27 x = - 221

      x = - 221 / 27 . 

Now , multiplying equation 1 to 5 and equation 2 by 4.

   20 x + 35 y = 115             -------------- equation 4

    20 x + 8 y = - 100           -------------- equation 5

By subtracting equation equation 5 from equation 4,

  20 x + 35 y - 20 x - 8 y = 115 + 110

                                27 y = 225

                                       y = 225/27.

x =  -221/27 and y = 225/27

       
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Answer 2

Answer:

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