3x+6y+6=0;8y=4x+24

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

Solution for 3x+6y+6=0;8y=4x+24 system of equations: 


  • /| 3*x+6*y+6 = 0| 8*y-(4*x)-24 = 0
  • We try to solve the equation: 3*x+6*y+6 = 0
  • 3*x+6*y+6 = 0 // - 3*x+6
  • 6*y = -(3*x+6) // : 6
  • y = (-(3*x+6))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((-(3*x+6))/6)-(4*x)-24 = 0| y = (-(3*x+6))/6
  • (8*(-3*x-6))/6-4*x-24 = 0
  • -8*x-24-8 = 0
  • -8*x-32 = 0
  • -8*x-32 = 0 // + 32
  • -8*x = 32 // : -8
  • x = 32/(-8)
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+6))/6: 
  • y = (-(6-4*3))/6
  • y = (-(6-12))/6
  • y = 6/6
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -4

 

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