-2x+3y=5;2x-y=1

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

Solution for -2x+3y=5;2x-y=1 system of equations: 


  • /| 3*y-2*x-5 = 0| 2*x-y-1 = 0
  • We try to solve the equation: 3*y-2*x-5 = 0
  • 3*y-2*x-5 = 0 // + -2*x-5
  • 3*y = -(-2*x-5) // : 3
  • y = (-(-2*x-5))/3
  • y = (5-(-2*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-((5-(-2*x))/3)-1 = 0| y = (5-(-2*x))/3
  • (-1*(2*x+5))/3+2*x-1 = 0
  • 4/3*x-5/3-1 = 0
  • 4/3*x-8/3 = 0
  • 4/3*x-8/3 = 0 // + 8/3
  • 4/3*x = 8/3 // : 4/3
  • x = 8/3/4/3
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-(-2*x))/3: 
  • y = (5-(-2*2))/3
  • y = (4+5)/3
  • y = 9/3
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 2

 

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