x+3y=6;5x-3y=18

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2x+y=8
x+3y=14

Solution for x+3y=6;5x-3y=18 system of equations: 


  • /| x+3*y-6 = 0| 5*x-(3*y)-18 = 0
  • We try to solve the equation: x+3*y-6 = 0
  • x+3*y-6 = 0 // - x-6
  • 3*y = -(x-6) // : 3
  • y = (-(x-6))/3
  • y = (6-x)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(3*((6-x)/3))-18 = 0| y = (6-x)/3
  • (-1*3*(6-x))/3+5*x-18 = 0
  • 6*x-18-6 = 0
  • 6*x-24 = 0
  • 6*x-24 = 0 // + 24
  • 6*x = 24 // : 6
  • x = 24/6
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-x)/3: 
  • y = (6-4)/3
  • y = 2/3
  • We get a system of equations:
  • /| y = 2/3| x = 4

 

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