5y=3x+15;6x=10y-30

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Solution for 5y=3x+15;6x=10y-30 system of equations: 


  • /| 5*y-(3*x)-15 = 0| 6*x-(10*y)+30 = 0
  • We try to solve the equation: 5*y-(3*x)-15 = 0
  • 5*y-3*x-15 = 0 // + -3*x-15
  • 5*y = -(-3*x-15) // : 5
  • y = (-(-3*x-15))/5
  • y = (15-(-3*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-(10*((15-(-3*x))/5))+30 = 0| y = (15-(-3*x))/5
  • (-1*10*(3*x+15))/5+6*x+30 = 0
  • 30-30 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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