Math, asked by nightbegins6, 9 months ago

4x-y=11. -8x+2y=-22. linear simultaneous equitation i reported on spams so there id are bbansi​

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Answered by Anonymous
2

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Answered by Anonymous
8

System of Linear Equations entered :

 [1]           4x-y=-11

 [2]           y=1/2x

Equations Simplified or Rearranged :

  [1]    4x - y = -11

  [2]    -x/2 + y = 0

// To remove fractions, multiply equations by their respective LCD

    Multiply equation [2] by 2

// Equations now take the shape:

  [1]    4x - y = -11

  [2]    -x + 2y = 0

Graphic Representation of the Equations :

   y + 4x = -11        2y - x = 0  

 

 

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    x = 2y  

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

  [1]    4•(2y) - y = -11

  [1]    7y = -11

// Solve equation [1] for the variable  y  

  [1]    7y = - 11  

  [1]    y = - 11/7  

// By now we know this much :

   x = 2y

   y = -11/7

// Use the  y  value to solve for  x  

   x = 2(-11/7) = -22/7  

Solution :

{x,y} = {-22/7,-11/7}

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