0.05x-0.01y=1;0.27x+0.14y=15.1

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

Solution for 0.05x-0.01y=1;0.27x+0.14y=15.1 system of equations: 


  • /| 0.05*x-(0.01*y)-1 = 0| 0.27*x+0.14*y-15.1 = 0
  • We try to solve the equation: 0.05*x-(0.01*y)-1 = 0
  • 0.05*x-0.01*y-1 = 0 // - 0.05*x-1
  • -0.01*y = -(0.05*x-1) // : -0.01
  • y = (-(0.05*x-1))/(-0.01)
  • y = -100*(1-(0.05*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.27*x-100*0.14*(1-(0.05*x))-15.1 = 0| y = -100*(1-(0.05*x))
  • 0.27*x-14*(1-0.05*x)-15.1 = 0
  • 0.97*x-15.1-14 = 0
  • 0.97*x-29.1 = 0
  • 0.97*x-29.1 = 0 // + 29.1
  • 0.97*x = 29.1 // : 0.97
  • x = 29.1/0.97
  • x = 30
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -100*(1-(0.05*x)): 
  • y = -100*(1-(0.05*30))
  • y = -100*(1-1.5)
  • y = -100*(-0.5)
  • y = 0.5*100
  • y = 50
  • We get a system of equations:
  • /| y = 50| x = 30

 

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