Question

Solve the following system: y = x + 3 2x + y = 9

Answer 1

Answer:

{y,x}={5,2}

See steps

Step by Step Solution:

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System of Linear Equations entered :

 [1]           y-x=3

 [2]           2x+y=9

Equations Simplified or Rearranged :

  [1]    y - x = 3

  [2]    y + 2x = 9

Graphic Representation of the Equations :

   x + y = 3        2x + y = 9  

 

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = -2x + 9

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

  [1]    (-2x+9) - x = 3

  [1]     - 3x = -6

// Solve equation [1] for the variable  x

  [1]    3x = 6

  [1]    x = 2

// By now we know this much :

   y = -2x+9

   x = 2

Solution :

{y,x} = {5,2}

Answer 2

Y=5 and X=2 :) hope this helped