5x+15y=30;3x+9y=18

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Solution for 5x+15y=30;3x+9y=18 system of equations: 


  • /| 5*x+15*y-30 = 0| 3*x+9*y-18 = 0
  • We try to solve the equation: 5*x+15*y-30 = 0
  • 5*x+15*y-30 = 0 // - 5*x-30
  • 15*y = -(5*x-30) // : 15
  • y = (-(5*x-30))/15
  • y = (30-(5*x))/15
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*((30-(5*x))/15)+3*x-18 = 0| y = (30-(5*x))/15
  • (9*(30-5*x))/15+3*x-18 = 0
  • 18-18 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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