12x+3y=9;4x+y=-15

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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+3y=9;4x+y=-15 system of equations: 


  • /| 12*x+3*y-9 = 0| 4*x+y+15 = 0
  • We try to solve the equation: 12*x+3*y-9 = 0
  • 12*x+3*y-9 = 0 // - 12*x-9
  • 3*y = -(12*x-9) // : 3
  • y = (-(12*x-9))/3
  • y = (9-(12*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (9-(12*x))/3+4*x+15 = 0| y = (9-(12*x))/3
  • (9-12*x)/3+4*x+15 = 0
  • 3+15 = 0
  • 18 = 0
  • 18 = 0
  • x belongs to the empty set
  • The system of equations does not have any solution

 

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