51x+17y=102;3x-5y=-66

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Solution for 51x+17y=102;3x-5y=-66 system of equations: 


  • /| 51*x+17*y-102 = 0| 3*x-(5*y)+66 = 0
  • We try to solve the equation: 51*x+17*y-102 = 0
  • 51*x+17*y-102 = 0 // - 51*x-102
  • 17*y = -(51*x-102) // : 17
  • y = (-(51*x-102))/17
  • y = (102-(51*x))/17
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(5*((102-(51*x))/17))+66 = 0| y = (102-(51*x))/17
  • (-1*5*(102-51*x))/17+3*x+66 = 0
  • 18*x-30+66 = 0
  • 18*x+36 = 0
  • 18*x+36 = 0 // - 36
  • 18*x = -36 // : 18
  • x = -36/18
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (102-(51*x))/17: 
  • y = (102-(-2*51))/17
  • y = (102+102)/17
  • y = 204/17
  • y = 12
  • We get a system of equations:
  • /| y = 12| x = -2

 

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