3y-x=-9;2y+5x=11

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Solution for 3y-x=-9;2y+5x=11 system of equations: 


  • /| 3*y-x+9 = 0| 5*x+2*y-11 = 0
  • We try to solve the equation: 3*y-x+9 = 0
  • 3*y-x+9 = 0 // - 9-x
  • 3*y = -(9-x) // : 3
  • y = (-(9-x))/3
  • y = (x-9)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((x-9)/3)+5*x-11 = 0| y = (x-9)/3
  • (2*(x-9))/3+5*x-11 = 0
  • 17/3*x-11-6 = 0
  • 17/3*x-17 = 0
  • 17/3*x-17 = 0 // + 17
  • 17/3*x = 17 // : 17/3
  • x = 17/17/3
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x-9)/3: 
  • y = (3-9)/3
  • y = -6/3
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 3

 

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