-x+3y=6;-2x+5y=11

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

Solution for -x+3y=6;-2x+5y=11 system of equations: 


  • /| 3*y-x-6 = 0| 5*y-2*x-11 = 0
  • We try to solve the equation: 3*y-x-6 = 0
  • 3*y-x-6 = 0 // + -x-6
  • 3*y = -(-x-6) // : 3
  • y = (-(-x-6))/3
  • y = (x+6)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((x+6)/3)-2*x-11 = 0| y = (x+6)/3
  • (5*(x+6))/3-2*x-11 = 0
  • 10-1/3*x-11 = 0
  • -1/3*x-1 = 0
  • -1/3*x-1 = 0 // + 1
  • -1/3*x = 1 // : -1/3
  • x = 1/(-1/3)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+6)/3: 
  • y = (6-3)/3
  • y = 3/3
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -3

 

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