1. 2x + y = 7 and 6x + 5y = 27*
Your answer

2x-5y=-1;6x-5y=27

Solution :

{x,y} = {7,3}

System of Linear Equations entered :

  [1]    2x - 5y = -1

  [2]    6x - 5y = 27

Graphic Representation of the Equations :

   -5y + 2x = -1        -5y + 6x = 27  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    6x = 5y + 27

 [2]    x = 5y/6 + 9/2

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

  [1]    2•(5y/6+9/2) - 5y = -1

  [1]     - 10y/3 = -10

  [1]     - 10y = -30

// Solve equation [1] for the variable  y

  [1]    10y = 30

  [1]    y = 3

// By now we know this much :

   x = 5y/6+9/2

   y = 3

// Use the  y  value to solve for  x

   x = (5/6)(3)+9/2 = 7

Solution :

{x,y} = {7,3}

  Hope I helped! :)

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