7/100x-1/100y=3.7;28/100x+14/100y=23.8

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x+3y=14

Solution for 7/100x-1/100y=3.7;28/100x+14/100y=23.8 system of equations: 


  • /| (7/100)*x-((1/100)*y)-3.7 = 0| (28/100)*x+(14/100)*y-23.8 = 0
  • We try to solve the equation: (7/100)*x-((1/100)*y)-3.7 = 0
  • 7/100*x-1/100*y-3.7 = 0 // - 7/100*x-3.7
  • -1/100*y = -(7/100*x-3.7) // : -1/100
  • y = (-(7/100*x-3.7))/(-1/100)
  • y = -100*(3.7-(7/100*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (28/100)*x-100*(14/100)*(3.7-(7/100*x))-23.8 = 0| y = -100*(3.7-(7/100*x))
  • (7*x)/25-14*(3.7-7/100*x)-23.8 = 0
  • 63/50*x-51.8-23.8 = 0
  • 63/50*x-75.6 = 0
  • 63/50*x-75.6 = 0 // + 75.6
  • 63/50*x = 75.6 // : 63/50
  • x = 75.6/63/50
  • x = 60
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -100*(3.7-(7/100*x)): 
  • y = -100*(3.7-(7/100*60))
  • y = -100*(3.7-21/5)
  • y = -100*(-0.5)
  • y = 0.5*100
  • y = 50
  • We get a system of equations:
  • /| y = 50| x = 60

 

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