x+5y=17;5x-5y=17

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2x+y=8
x+3y=14

Solution for x+5y=17;5x-5y=17 system of equations: 


  • /| x+5*y-17 = 0| 5*x-(5*y)-17 = 0
  • We try to solve the equation: x+5*y-17 = 0
  • x+5*y-17 = 0 // - x-17
  • 5*y = -(x-17) // : 5
  • y = (-(x-17))/5
  • y = (17-x)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(5*((17-x)/5))-17 = 0| y = (17-x)/5
  • (-1*5*(17-x))/5+5*x-17 = 0
  • 6*x-17-17 = 0
  • 6*x-34 = 0
  • 6*x-34 = 0 // + 34
  • 6*x = 34 // : 6
  • x = 34/6
  • x = 17/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (17-x)/5: 
  • y = (17-17/3)/5
  • y = 34/3/5
  • y = 34/15
  • We get a system of equations:
  • /| y = 34/15| x = 17/3

 

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