3p+2b=29;5p+3b=47.50

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

Solution for 3p+2b=29;5p+3b=47.50 system of equations:


  • /| 2*b+3*p-29 = 0| 3*b+5*p-47.5 = 0
  • We try to solve the equation: 2*b+3*p-29 = 0
  • 2*b+3*p-29 = 0 / - 3*p-29
  • 2*b = -(3*p-29) / : 2
  • b = (-(3*p-29))/2
  • b = (29-(3*p))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((29-(3*p))/2)+5*p-47.5 = 0| b = (29-(3*p))/2
  • (3*(29-3*p))/2+5*p-47.5 = 0
  • 1/2*p-47.5+87/2 = 0
  • 1/2*p-4 = 0
  • 1/2*p-4 = 0 / + 4
  • 1/2*p = 4 / : 1/2
  • p = 4/1/2
  • p = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For b = (29-(3*p))/2:
  • b = (29-(3*8))/2
  • b = (29-24)/2
  • b = 5/2
  • We get a system of equations:
  • /| b = 5/2| p = 8

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