x-2y=13;5y-2x=-35

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for example:
2x+y=8
x+3y=14

Solution for x-2y=13;5y-2x=-35 system of equations: 


  • /| x-(2*y)-13 = 0| 5*y-(2*x)+35 = 0
  • We try to solve the equation: x-(2*y)-13 = 0
  • x-2*y-13 = 0 // - x-13
  • -2*y = -(x-13) // : -2
  • y = (-(x-13))/(-2)
  • y = (13-x)/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((13-x)/(-2))-(2*x)+35 = 0| y = (13-x)/(-2)
  • (5*(13-x))/(-2)-2*x+35 = 0
  • 1/2*x-65/2+35 = 0
  • 1/2*x+5/2 = 0
  • 1/2*x+5/2 = 0 // - 5/2
  • 1/2*x = -5/2 // : 1/2
  • x = -5/2/1/2
  • x = -5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (13-x)/(-2): 
  • y = (5+13)/(-2)
  • y = 18/(-2)
  • y = -9
  • We get a system of equations:
  • /| y = -9| x = -5

 

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