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Verified Answer :

 6x=-58-11y;-4x=2-11y Solution : {x,y} = {-6,-2}
System of Linear Equations entered :  [1] 6x + 11y = -58
  [2] -4x + 11y = 2
Graphic Representation of the Equations : 11y + 6x = -58 11y - 4x = 2

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Solve by Substitution :

// Solve equation [2] for the variable  y  
 

[2] 11y = 4x + 2

[2] y = 4x/11 + 2/11

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

  [1] 6x + 11•(4x/11+2/11) = -58
  [1] 10x = -60

// Solve equation [1] for the variable  x  

  [1] 10x = - 60

  [1] x = - 6 

// By now we know this much :

  x = -6
  y = 4x/11+2/11

// Use the  x  value to solve for  y  

  y = (4/11)(-6)+2/11 = -2 Solution : {x,y} = {-6,-2}