3x+10y30;-5x-5y25

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Solution for 3x+10y30;-5x-5y25 system of equations: 


  • /| 3*x+10*y-30 = 0| -5*x-(5*y)-25 = 0
  • We try to solve the equation: 3*x+10*y-30 = 0
  • 3*x+10*y-30 = 0 // - 3*x-30
  • 10*y = -(3*x-30) // : 10
  • y = (-(3*x-30))/10
  • y = (30-(3*x))/10
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(5*((30-(3*x))/10))-5*x-25 = 0| y = (30-(3*x))/10
  • (-1*5*(30-3*x))/10-5*x-25 = 0
  • -7/2*x-25-15 = 0
  • -7/2*x-40 = 0
  • -7/2*x-40 = 0 // + 40
  • -7/2*x = 40 // : -7/2
  • x = 40/(-7/2)
  • x = -80/7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (30-(3*x))/10: 
  • y = (30-(-80/7*3))/10
  • y = (30+240/7)/10
  • y = 450/7/10
  • y = 45/7
  • We get a system of equations:
  • /| y = 45/7| x = -80/7

 

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