3x+2y=78.39;2x+3y=74.61

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2x+y=8
x+3y=14

Solution for 3x+2y=78.39;2x+3y=74.61 system of equations:


  • /| 3*x+2*y-78.39 = 0| 2*x+3*y-74.61 = 0
  • We try to solve the equation: 3*x+2*y-78.39 = 0
  • 3*x+2*y-78.39 = 0 / - 3*x-78.39
  • 2*y = -(3*x-78.39) / : 2
  • y = (-(3*x-78.39))/2
  • y = (78.39-(3*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((78.39-(3*x))/2)+2*x-74.61 = 0| y = (78.39-(3*x))/2
  • (3*(78.39-3*x))/2+2*x-74.61 = 0
  • 117.585-5/2*x-74.61 = 0
  • 42.975-5/2*x = 0
  • 42.975-5/2*x = 0 / - 42.975
  • -5/2*x = -42.975 / : -5/2
  • x = -42.975/(-5/2)
  • x = 17.19
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (78.39-(3*x))/2:
  • y = (78.39-(3*17.19))/2
  • y = (78.39-51.57)/2
  • y = 26.82/2
  • y = 13.41
  • We get a system of equations:
  • /| y = 13.41| x = 17.19

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