4x=6+2y;-6/5x+y=17/5

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2x+y=8
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Solution for 4x=6+2y;-6/5x+y=17/5 system of equations: 


  • /| 4*x-(2*y)-6 = 0| (-6/5)*x+y-(17/5) = 0
  • We try to solve the equation: 4*x-(2*y)-6 = 0
  • 4*x-2*y-6 = 0 // - 4*x-6
  • -2*y = -(4*x-6) // : -2
  • y = (-(4*x-6))/(-2)
  • y = (6-(4*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (6-(4*x))/(-2)+(-6/5)*x-(17/5) = 0| y = (6-(4*x))/(-2)
  • (6-4*x)/(-2)+(-6*x)/5-17/5 = 0
  • 4/5*x-17/5-3 = 0
  • 4/5*x-32/5 = 0
  • 4/5*x-32/5 = 0 // + 32/5
  • 4/5*x = 32/5 // : 4/5
  • x = 32/5/4/5
  • x = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(4*x))/(-2): 
  • y = (6-(4*8))/(-2)
  • y = (6-32)/(-2)
  • y = -26/(-2)
  • y = 13
  • We get a system of equations:
  • /| y = 13| x = 8

 

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