6x+6y=-6;5x+y=-13

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

Solution for 6x+6y=-6;5x+y=-13 system of equations: 


  • /| 6*x+6*y+6 = 0| 5*x+y+13 = 0
  • We try to solve the equation: 6*x+6*y+6 = 0
  • 6*x+6*y+6 = 0 // - 6*x+6
  • 6*y = -(6*x+6) // : 6
  • y = (-(6*x+6))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (-(6*x+6))/6+5*x+13 = 0| y = (-(6*x+6))/6
  • (-6*x-6)/6+5*x+13 = 0
  • 4*x-1+13 = 0
  • 4*x+12 = 0
  • 4*x+12 = 0 // - 12
  • 4*x = -12 // : 4
  • x = -12/4
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(6*x+6))/6: 
  • y = (-(6-3*6))/6
  • y = (-(6-18))/6
  • y = 12/6
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -3

 

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