x-3y=9;3x-y=7

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for x-3y=9;3x-y=7 system of equations: 


  • /| x-(3*y)-9 = 0| 3*x-y-7 = 0
  • We try to solve the equation: x-(3*y)-9 = 0
  • x-3*y-9 = 0 // - x-9
  • -3*y = -(x-9) // : -3
  • y = (-(x-9))/(-3)
  • y = (9-x)/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-((9-x)/(-3))-7 = 0| y = (9-x)/(-3)
  • (-1*(9-x))/(-3)+3*x-7 = 0
  • 8/3*x-7+3 = 0
  • 8/3*x-4 = 0
  • 8/3*x-4 = 0 // + 4
  • 8/3*x = 4 // : 8/3
  • x = 4/8/3
  • x = 3/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (9-x)/(-3): 
  • y = (9-3/2)/(-3)
  • y = 15/2/(-3)
  • y = -5/2
  • We get a system of equations:
  • /| y = -5/2| x = 3/2

 

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