x+3y=7;-x+y=-3

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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=7;-x+y=-3 system of equations: 


  • /| x+3*y-7 = 0| y-x+3 = 0
  • We try to solve the equation: x+3*y-7 = 0
  • x+3*y-7 = 0 // - x-7
  • 3*y = -(x-7) // : 3
  • y = (-(x-7))/3
  • y = (7-x)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (7-x)/3-x+3 = 0| y = (7-x)/3
  • (7-x)/3-x+3 = 0
  • 7/3-4/3*x+3 = 0
  • 16/3-4/3*x = 0
  • 16/3-4/3*x = 0 // - 16/3
  • -4/3*x = -16/3 // : -4/3
  • x = -16/3/(-4/3)
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7-x)/3: 
  • y = (7-4)/3
  • y = 3/3
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 4

 

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