1.6x+1.6y=160;x-y=10

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Solution for 1.6x+1.6y=160;x-y=10 system of equations: 


  • /| 1.6*x+1.6*y-160 = 0| x-y-10 = 0
  • We try to solve the equation: 1.6*x+1.6*y-160 = 0
  • 1.6*x+1.6*y-160 = 0 // - 1.6*x-160
  • 1.6*y = -(1.6*x-160) // : 1.6
  • y = (-(1.6*x-160))/1.6
  • y = 0.625*(160-(1.6*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(0.625*(160-(1.6*x)))-10 = 0| y = 0.625*(160-(1.6*x))
  • x-1*0.625*(160-1.6*x)-10 = 0
  • 2*x-100-10 = 0
  • 2*x-110 = 0
  • 2*x-110 = 0 // + 110
  • 2*x = 110 // : 2
  • x = 110/2
  • x = 55
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 0.625*(160-(1.6*x)): 
  • y = 0.625*(160-(1.6*55))
  • y = 0.625*(160-88)
  • y = 0.625*72
  • y = 45
  • We get a system of equations:
  • /| y = 45| x = 55

 

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