2x+y=5;-4x+6y=-2

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

Solution for 2x+y=5;-4x+6y=-2 system of equations: 


  • /| 2*x+y-5 = 0| 6*y-4*x+2 = 0
  • We try to solve the equation: 2*x+y-5 = 0
  • 2*x+y-5 = 0 // - 2*x-5
  • y = -(2*x-5)
  • y = 5-(2*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*(5-(2*x))-4*x+2 = 0| y = 5-(2*x)
  • 6*(5-2*x)-4*x+2 = 0
  • 2-16*x+30 = 0
  • 32-16*x = 0
  • 32-16*x = 0 // - 32
  • -16*x = -32 // : -16
  • x = -32/(-16)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5-(2*x): 
  • y = 5-(2*2)
  • y = 5-4
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 2

 

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