3x=16+4y;-6/5x+y=-47/5

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Solution for 3x=16+4y;-6/5x+y=-47/5 system of equations: 


  • /| 3*x-(4*y)-16 = 0| (-6/5)*x+y-(-47/5) = 0
  • We try to solve the equation: 3*x-(4*y)-16 = 0
  • 3*x-4*y-16 = 0 // - 3*x-16
  • -4*y = -(3*x-16) // : -4
  • y = (-(3*x-16))/(-4)
  • y = (16-(3*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (16-(3*x))/(-4)+(-6/5)*x-(-47/5) = 0| y = (16-(3*x))/(-4)
  • (16-3*x)/(-4)+(-6*x)/5+47/5 = 0
  • 47/5-9/20*x-4 = 0
  • 27/5-9/20*x = 0
  • 27/5-9/20*x = 0 // - 27/5
  • -9/20*x = -27/5 // : -9/20
  • x = -27/5/(-9/20)
  • x = 12
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-(3*x))/(-4): 
  • y = (16-(3*12))/(-4)
  • y = (16-36)/(-4)
  • y = -20/(-4)
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = 12

 

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