0.04x-0.01y=1;0.28x+0.25y=11.4

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x+3y=14

Solution for 0.04x-0.01y=1;0.28x+0.25y=11.4 system of equations: 


  • /| 0.04*x-(0.01*y)-1 = 0| 0.28*x+0.25*y-11.4 = 0
  • We try to solve the equation: 0.04*x-(0.01*y)-1 = 0
  • 0.04*x-0.01*y-1 = 0 // - 0.04*x-1
  • -0.01*y = -(0.04*x-1) // : -0.01
  • y = (-(0.04*x-1))/(-0.01)
  • y = -100*(1-(0.04*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.28*x-100*0.25*(1-(0.04*x))-11.4 = 0| y = -100*(1-(0.04*x))
  • 0.28*x-25*(1-0.04*x)-11.4 = 0
  • 1.28*x-25-11.4 = 0
  • 1.28*x-36.4 = 0
  • 1.28*x-36.4 = 0 // + 36.4
  • 1.28*x = 36.4 // : 1.28
  • x = 36.4/1.28
  • x = 28.4375
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -100*(1-(0.04*x)): 
  • y = -100*(1-(0.04*28.4375))
  • y = -100*(1-1.1375)
  • y = -100*(-0.1375)
  • y = 0.1375*100
  • y = 13.75
  • We get a system of equations:
  • /| y = 13.75| x = 28.4375

 

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