x=-5y+35;-3x+y=39

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Solution for x=-5y+35;-3x+y=39 system of equations: 


  • /| x-(-5*y)-35 = 0| y-3*x-39 = 0
  • We try to solve the equation: x-(-5*y)-35 = 0
  • x+5*y-35 = 0 // - x-35
  • 5*y = -(x-35) // : 5
  • y = (-(x-35))/5
  • y = (35-x)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (35-x)/5-3*x-39 = 0| y = (35-x)/5
  • (35-x)/5-3*x-39 = 0
  • 7-16/5*x-39 = 0
  • -16/5*x-32 = 0
  • -16/5*x-32 = 0 // + 32
  • -16/5*x = 32 // : -16/5
  • x = 32/(-16/5)
  • x = -10
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (35-x)/5: 
  • y = (10+35)/5
  • y = 45/5
  • y = 9
  • We get a system of equations:
  • /| y = 9| x = -10

 

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