10x+6y30;6x-1030

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x+3y=14

Solution for 10x+6y30;6x-1030 system of equations: 


  • /| 10*x+6*y-30 = 0| 6*x-30-10 = 0
  • We try to solve the equation: 10*x+6*y-30 = 0
  • 10*x+6*y-30 = 0 // - 10*x-30
  • 6*y = -(10*x-30) // : 6
  • y = (-(10*x-30))/6
  • y = (30-(10*x))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-30-10 = 0| y = (30-(10*x))/6
  • 6*x-40 = 0 // + 40
  • 6*x = 40 // : 6
  • x = 40/6
  • x = 20/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (30-(10*x))/6: 
  • y = (30-(20/3*10))/6
  • y = (30-200/3)/6
  • y = -110/3/6
  • y = -55/9
  • We get a system of equations:
  • /| y = -55/9| x = 20/3

 

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