12x-27y=9;4x=9y+3

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

Solution for 12x-27y=9;4x=9y+3 system of equations: 


  • /| 12*x-(27*y)-9 = 0| 4*x-(9*y)-3 = 0
  • We try to solve the equation: 12*x-(27*y)-9 = 0
  • 12*x-27*y-9 = 0 // - 12*x-9
  • -27*y = -(12*x-9) // : -27
  • y = (-(12*x-9))/(-27)
  • y = (9-(12*x))/(-27)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*x-(9*((9-(12*x))/(-27)))-3 = 0| y = (9-(12*x))/(-27)
  • (-1*9*(9-12*x))/(-27)+4*x-3 = 0
  • 3-3 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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