8x+6y=-60;6x+6y=-42

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

Solution for 8x+6y=-60;6x+6y=-42 system of equations: 


  • /| 8*x+6*y+60 = 0| 6*x+6*y+42 = 0
  • We try to solve the equation: 8*x+6*y+60 = 0
  • 8*x+6*y+60 = 0 // - 8*x+60
  • 6*y = -(8*x+60) // : 6
  • y = (-(8*x+60))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((-(8*x+60))/6)+6*x+42 = 0| y = (-(8*x+60))/6
  • (6*(-8*x-60))/6+6*x+42 = 0
  • 42-2*x-60 = 0
  • -2*x-18 = 0
  • -2*x-18 = 0 // + 18
  • -2*x = 18 // : -2
  • x = 18/(-2)
  • x = -9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(8*x+60))/6: 
  • y = (-(60-9*8))/6
  • y = (-(60-72))/6
  • y = 12/6
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -9

 

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