1/25x-1/100y=7/5;1/4x+4/25y=66/5

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Solution for 1/25x-1/100y=7/5;1/4x+4/25y=66/5 system of equations: 


  • /| (1/25)*x-((1/100)*y)-(7/5) = 0| (1/4)*x+(4/25)*y-(66/5) = 0
  • We try to solve the equation: (1/25)*x-((1/100)*y)-(7/5) = 0
  • 1/25*x-1/100*y-7/5 = 0 // - 1/25*x-7/5
  • -1/100*y = -(1/25*x-7/5) // : -1/100
  • y = (-(1/25*x-7/5))/(-1/100)
  • y = -100*(7/5-(1/25*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1/4)*x-100*(4/25)*(7/5-(1/25*x))-(66/5) = 0| y = -100*(7/5-(1/25*x))
  • x/4-16*(7/5-1/25*x)-66/5 = 0
  • 89/100*x-112/5-66/5 = 0
  • 89/100*x-178/5 = 0
  • 89/100*x-178/5 = 0 // + 178/5
  • 89/100*x = 178/5 // : 89/100
  • x = 178/5/89/100
  • x = 40
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -100*(7/5-(1/25*x)): 
  • y = -100*(7/5-(1/25*40))
  • y = -100*(7/5-8/5)
  • y = -100*(-1/5)
  • y = 1/5*100
  • y = 20
  • We get a system of equations:
  • /| y = 20| x = 40

 

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