0.05x+0.25y=99;0.15x+0.05y=108

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2x+y=8
x+3y=14

Solution for 0.05x+0.25y=99;0.15x+0.05y=108 system of equations: 


  • /| 0.05*x+0.25*y-99 = 0| 0.15*x+0.05*y-108 = 0
  • We try to solve the equation: 0.05*x+0.25*y-99 = 0
  • 0.05*x+0.25*y-99 = 0 // - 0.05*x-99
  • 0.25*y = -(0.05*x-99) // : 0.25
  • y = (-(0.05*x-99))/0.25
  • y = 4*(99-(0.05*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.05*4*(99-(0.05*x))+0.15*x-108 = 0| y = 4*(99-(0.05*x))
  • 0.2*(99-0.05*x)+0.15*x-108 = 0
  • 0.14*x-108+19.8 = 0
  • 0.14*x-88.2 = 0
  • 0.14*x-88.2 = 0 // + 88.2
  • 0.14*x = 88.2 // : 0.14
  • x = 88.2/0.14
  • x = 630
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 4*(99-(0.05*x)): 
  • y = 4*(99-(0.05*630))
  • y = 4*(99-31.5)
  • y = 4*67.5
  • y = 270
  • We get a system of equations:
  • /| y = 270| x = 630

 

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