Y = 3x+ and y = − 1 3 x + 11

 steps

Step by Step Solution

System of Linear Equations entered :  [1] y - x/3 = 1   [2] y + 3x = 11

     Multiply equation [1] by 3

// Equations now take the shape:

  [1] 3y - x = 3   [2] y + 3x = 11 Graphic Representation of the Equations : x + 3y = 3 3x + y = 11 Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] y = -3x + 11

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

  [1] 3•(-3x+11) - x = 3   [1] - 10x = -30

// Solve equation [1] for the variable  x 

  [1] 10x = 30    [1] x = 3 

// By now we know this much :

  y = -3x+11   x = 3

// Use the  x  value to solve for  y 

  y = -3(3)+11 = 2 

Solution :

 {y,x} = {2,3} 

21/58.

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