5x-3y=23;2x+y=7

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

Solution for 5x-3y=23;2x+y=7 system of equations: 


  • /| 5*x-(3*y)-23 = 0| 2*x+y-7 = 0
  • We try to solve the equation: 5*x-(3*y)-23 = 0
  • 5*x-3*y-23 = 0 // - 5*x-23
  • -3*y = -(5*x-23) // : -3
  • y = (-(5*x-23))/(-3)
  • y = (23-(5*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (23-(5*x))/(-3)+2*x-7 = 0| y = (23-(5*x))/(-3)
  • (23-5*x)/(-3)+2*x-7 = 0
  • 11/3*x-23/3-7 = 0
  • 11/3*x-44/3 = 0
  • 11/3*x-44/3 = 0 // + 44/3
  • 11/3*x = 44/3 // : 11/3
  • x = 44/3/11/3
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (23-(5*x))/(-3): 
  • y = (23-(4*5))/(-3)
  • y = (23-20)/(-3)
  • y = 3/(-3)
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = 4

 

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