2g+3h=6;-g+5h=-16

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Solution for 2g+3h=6;-g+5h=-16 system of equations: 


  • /| 2*g+3*h-6 = 0| 5*h-g+16 = 0
  • We try to solve the equation: 2*g+3*h-6 = 0
  • 2*g+3*h-6 = 0 // - 3*h-6
  • 2*g = -(3*h-6) // : 2
  • g = (-(3*h-6))/2
  • g = (6-(3*h))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*h-((6-(3*h))/2)+16 = 0| g = (6-(3*h))/2
  • (-1*(6-3*h))/2+5*h+16 = 0
  • 13/2*h-3+16 = 0
  • 13/2*h+13 = 0
  • 13/2*h+13 = 0 // - 13
  • 13/2*h = -13 // : 13/2
  • h = -13/13/2
  • h = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For g = (6-(3*h))/2: 
  • g = (6-(-2*3))/2
  • g = (6+6)/2
  • g = 12/2
  • g = 6
  • We get a system of equations:
  • /| g = 6| h = -2

 

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