3g+4h=17;-6g+7h=-49

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Solution for 3g+4h=17;-6g+7h=-49 system of equations: 


  • /| 3*g+4*h-17 = 0| 7*h-6*g+49 = 0
  • We try to solve the equation: 3*g+4*h-17 = 0
  • 3*g+4*h-17 = 0 // - 4*h-17
  • 3*g = -(4*h-17) // : 3
  • g = (-(4*h-17))/3
  • g = (17-(4*h))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*h-6*((17-(4*h))/3)+49 = 0| g = (17-(4*h))/3
  • (-6*(17-4*h))/3+7*h+49 = 0
  • 15*h-34+49 = 0
  • 15*h+15 = 0
  • 15*h+15 = 0 // - 15
  • 15*h = -15 // : 15
  • h = -15/15
  • h = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For g = (17-(4*h))/3: 
  • g = (17-(-1*4))/3
  • g = (4+17)/3
  • g = 21/3
  • g = 7
  • We get a system of equations:
  • /| g = 7| h = -1

 

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