1/2x+1/3y=1/2;1/2x+4y=45/2

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Solution for 1/2x+1/3y=1/2;1/2x+4y=45/2 system of equations: 


  • /| (1/2)*x+(1/3)*y-(1/2) = 0| (1/2)*x+4*y-(45/2) = 0
  • We try to solve the equation: (1/2)*x+(1/3)*y-(1/2) = 0
  • 1/2*x+1/3*y-1/2 = 0 // - 1/2*x-1/2
  • 1/3*y = -(1/2*x-1/2) // : 1/3
  • y = (-(1/2*x-1/2))/1/3
  • y = 3*(1/2-(1/2*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*4*(1/2-(1/2*x))+(1/2)*x-(45/2) = 0| y = 3*(1/2-(1/2*x))
  • 12*(1/2-1/2*x)+x/2-45/2 = 0
  • 6-11/2*x-45/2 = 0
  • -11/2*x-33/2 = 0
  • -11/2*x-33/2 = 0 // + 33/2
  • -11/2*x = 33/2 // : -11/2
  • x = 33/2/(-11/2)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*(1/2-(1/2*x)): 
  • y = 3*(1/2-(-3*1/2))
  • y = 3*(1/2+3/2)
  • y = 2*3
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -3

 

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