3x+5y=46;7x-y=6

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Solution for 3x+5y=46;7x-y=6 system of equations: 


  • /| 3*x+5*y-46 = 0| 7*x-y-6 = 0
  • We try to solve the equation: 3*x+5*y-46 = 0
  • 3*x+5*y-46 = 0 // - 3*x-46
  • 5*y = -(3*x-46) // : 5
  • y = (-(3*x-46))/5
  • y = (46-(3*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*x-((46-(3*x))/5)-6 = 0| y = (46-(3*x))/5
  • (-1*(46-3*x))/5+7*x-6 = 0
  • 38/5*x-46/5-6 = 0
  • 38/5*x-76/5 = 0
  • 38/5*x-76/5 = 0 // + 76/5
  • 38/5*x = 76/5 // : 38/5
  • x = 76/5/38/5
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (46-(3*x))/5: 
  • y = (46-(2*3))/5
  • y = (46-6)/5
  • y = 40/5
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 2

 

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