-3x+y=6;3x-5y=-2

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Solution for -3x+y=6;3x-5y=-2 system of equations: 


  • /| y-3*x-6 = 0| 3*x-(5*y)+2 = 0
  • We try to solve the equation: y-3*x-6 = 0
  • y-3*x-6 = 0 // + -3*x-6
  • y = -(-3*x-6)
  • y = 6-(-3*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(5*(6-(-3*x)))+2 = 0| y = 6-(-3*x)
  • 3*x-1*5*(3*x+6)+2 = 0
  • 2-12*x-30 = 0
  • -12*x-28 = 0
  • -12*x-28 = 0 // + 28
  • -12*x = 28 // : -12
  • x = 28/(-12)
  • x = -7/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 6-(-3*x): 
  • y = 6-(-3*(-7/3))
  • y = 6-(7/3*3)
  • y = 6-7
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = -7/3

 

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