x-3y=-19;-x+6y=34

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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-3y=-19;-x+6y=34 system of equations: 


  • /| x-(3*y)+19 = 0| 6*y-x-34 = 0
  • We try to solve the equation: x-(3*y)+19 = 0
  • x-3*y+19 = 0 // - x+19
  • -3*y = -(x+19) // : -3
  • y = (-(x+19))/(-3)
  • y = (x+19)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((x+19)/3)-x-34 = 0| y = (x+19)/3
  • (6*(x+19))/3-x-34 = 0
  • x-34+38 = 0
  • x+4 = 0
  • x+4 = 0 // - 4
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+19)/3: 
  • y = (19-4)/3
  • y = 15/3
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -4

 

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