x-6y=-14;-x+2y=6

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for x-6y=-14;-x+2y=6 system of equations: 


  • /| x-(6*y)+14 = 0| 2*y-x-6 = 0
  • We try to solve the equation: x-(6*y)+14 = 0
  • x-6*y+14 = 0 // - x+14
  • -6*y = -(x+14) // : -6
  • y = (-(x+14))/(-6)
  • y = (x+14)/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((x+14)/6)-x-6 = 0| y = (x+14)/6
  • (2*(x+14))/6-x-6 = 0
  • 14/3-2/3*x-6 = 0
  • -2/3*x-4/3 = 0
  • -2/3*x-4/3 = 0 // + 4/3
  • -2/3*x = 4/3 // : -2/3
  • x = 4/3/(-2/3)
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+14)/6: 
  • y = (14-2)/6
  • y = 12/6
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -2

 

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