5- 5x – 8y =17
(2x - 7y=-17
solve the system of equations

{x,y} = {-5,1}

Find y for the system of two equations 2x-7y=-17 and -5x-8y=17

Step-by-step explanation:

  [1]    -5x - 8y = 17

  [2]    2x - 7y = -17

  -8y - 5x = 17        -7y + 2x = -17

[2]    2x = 7y - 17

 [2]    x = 7y/2 - 17/2

// Plug this in for variable  x  in equation [1]

  [1]    -5•(7y/2-17/2) - 8y = 17

  [1]     - 51y/2 = -51/2

  [1]     - 51y = -51

// Solve equation [1] for the variable  y  

  [1]    51y = 51  

  [1]    y = 1  

// By now we know this much :

   x = 7y/2-17/2

   y = 1

// Use the  y  value to solve for  x  

   x = (7/2)(1)-17/2 = -5  

Solution :

{x,y} = {-5,1}

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Step-by-step explanation: