4h+5c=12;3h+4c=9.25

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Solution for 4h+5c=12;3h+4c=9.25 system of equations: 


  • /| 5*c+4*h-12 = 0| 4*c+3*h-9.25 = 0
  • We try to solve the equation: 5*c+4*h-12 = 0
  • 5*c+4*h-12 = 0 // - 4*h-12
  • 5*c = -(4*h-12) // : 5
  • c = (-(4*h-12))/5
  • c = (12-(4*h))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((12-(4*h))/5)+3*h-9.25 = 0| c = (12-(4*h))/5
  • (4*(12-4*h))/5+3*h-9.25 = 0
  • 48/5-1/5*h-9.25 = 0
  • 0.35-1/5*h = 0
  • 0.35-1/5*h = 0 // - 0.35
  • -1/5*h = -0.35 // : -1/5
  • h = -0.35/(-1/5)
  • h = 1.75
  • We insert the solution into one of the initial equations of our system of equations
  • For c = (12-(4*h))/5: 
  • c = (12-(1.75*4))/5
  • c = (12-7)/5
  • c = 5/5
  • c = 1
  • We get a system of equations:
  • /| c = 1| h = 1.75

 

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