5x+4y=37800;x=2y

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Solution for 5x+4y=37800;x=2y system of equations: 


  • /| 5*x+4*y-37800 = 0| x-(2*y) = 0
  • We try to solve the equation: 5*x+4*y-37800 = 0
  • 5*x+4*y-37800 = 0 // - 5*x-37800
  • 4*y = -(5*x-37800) // : 4
  • y = (-(5*x-37800))/4
  • y = (37800-(5*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(2*((37800-(5*x))/4)) = 0| y = (37800-(5*x))/4
  • (-1*2*(37800-5*x))/4+x = 0
  • 7/2*x-18900 = 0
  • 7/2*x-18900 = 0 // + 18900
  • 7/2*x = 18900 // : 7/2
  • x = 18900/7/2
  • x = 5400
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (37800-(5*x))/4: 
  • y = (37800-(5*5400))/4
  • y = (37800-27000)/4
  • y = 10800/4
  • y = 2700
  • We get a system of equations:
  • /| y = 2700| x = 5400

 

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