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What's a solution to 5x+8y>1200 and x+2y<500

Sagot :

Shayne423idn

Answer:

{x,y} = {400,100}

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 

 [1]    y = -x + 500

// Plug this in for variable  y  in equation [2]

  [2]    5x + 8•(-x +500) = 2800

  [2]    -3x = -1200

// Solve equation [2] for the variable  x  

  [2]    3x = 1200  

  [2]    x = 400  

// By now we know this much :

   x = 400

   y = -x+500

// Use the  x  value to solve for  y  

   y = -(400)+500 = 100

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