5a-6b=12;10a-7b+39

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Solution for 5a-6b=12;10a-7b+39 system of equations:


  • /| 5*a-(6*b)-12 = 0| 10*a-(7*b)+39 = 0
  • We try to solve the equation: 5*a-(6*b)-12 = 0
  • 5*a-6*b-12 = 0 / - 5*a-12
  • -6*b = -(5*a-12) / : -6
  • b = (-(5*a-12))/(-6)
  • b = (12-(5*a))/(-6)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 10*a-(7*((12-(5*a))/(-6)))+39 = 0| b = (12-(5*a))/(-6)
  • (-1*7*(12-5*a))/(-6)+10*a+39 = 0
  • 25/6*a+14+39 = 0
  • 25/6*a+53 = 0
  • 25/6*a+53 = 0 / - 53
  • 25/6*a = -53 / : 25/6
  • a = -53/25/6
  • a = -318/25
  • We insert the solution into one of the initial equations of our system of equations
  • For b = (12-(5*a))/(-6):
  • b = (12-(-318/25*5))/(-6)
  • b = (12+318/5)/(-6)
  • b = 378/5/(-6)
  • b = -63/5
  • We get a system of equations:
  • /| b = -63/5| a = -318/25

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