5x-3y=13;7y-3x=-13

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

Solution for 5x-3y=13;7y-3x=-13 system of equations: 


  • /| 5*x-(3*y)-13 = 0| 7*y-(3*x)+13 = 0
  • We try to solve the equation: 5*x-(3*y)-13 = 0
  • 5*x-3*y-13 = 0 // - 5*x-13
  • -3*y = -(5*x-13) // : -3
  • y = (-(5*x-13))/(-3)
  • y = (13-(5*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((13-(5*x))/(-3))-(3*x)+13 = 0| y = (13-(5*x))/(-3)
  • (7*(13-5*x))/(-3)-3*x+13 = 0
  • 26/3*x-91/3+13 = 0
  • 26/3*x-52/3 = 0
  • 26/3*x-52/3 = 0 // + 52/3
  • 26/3*x = 52/3 // : 26/3
  • x = 52/3/26/3
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (13-(5*x))/(-3): 
  • y = (13-(2*5))/(-3)
  • y = (13-10)/(-3)
  • y = 3/(-3)
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = 2

 

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