4a+1b=15.5;3a+2b=14.75

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Solution for 4a+1b=15.5;3a+2b=14.75 system of equations:


  • /| 4*a+1*b-15.5 = 0| 3*a+2*b-14.75 = 0
  • We try to solve the equation: 4*a+1*b-15.5 = 0
  • 4*a+b-15.5 = 0 / - 4*a-15.5
  • b = -(4*a-15.5)
  • b = 15.5-(4*a)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(15.5-(4*a))+3*a-14.75 = 0| b = 15.5-(4*a)
  • 2*(15.5-4*a)+3*a-14.75 = 0
  • 31-5*a-14.75 = 0
  • 16.25-5*a = 0
  • 16.25-5*a = 0 / - 16.25
  • -5*a = -16.25 / : -5
  • a = -16.25/(-5)
  • a = 3.25
  • We insert the solution into one of the initial equations of our system of equations
  • For b = 15.5-(4*a):
  • b = 15.5-(3.25*4)
  • b = 15.5-13
  • b = 2.5
  • We get a system of equations:
  • /| b = 2.5| a = 3.25

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