1/3(4x-11)=x+4;1/3(4y-11)=-y-4

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Solution for 1/3(4x-11)=x+4;1/3(4y-11)=-y-4 system of equations: 


  • /| (1/3)*(4*x-11)-x-4 = 0| (1/3)*(4*y-11)+y+4 = 0
  • We try to solve the equation: (1/3)*(4*y-11)+y+4 = 0
  • 1/3*(4*y-11)+y+4 = 0
  • 7/3*y-11/3+4 = 0
  • 7/3*y+1/3 = 0
  • 7/3*y+1/3 = 0 // - 1/3
  • 7/3*y = -1/3 // : 7/3
  • y = -1/3/7/3
  • y = -1/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1/3)*(4*x-11)-x-4 = 0| y = -1/7
  • 1/3*(4*x-11)-x-4 = 0
  • 1/3*x-4-11/3 = 0
  • 1/3*x-23/3 = 0
  • 1/3*x-23/3 = 0 // + 23/3
  • 1/3*x = 23/3 // : 1/3
  • x = 23/3/1/3
  • x = 23
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -1/7: 
  • y = -1/7
  • We get a system of equations:
  • /| y = -1/7| x = 23

 

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