4x=10+2y;-6/5x+y=23/5

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x+3y=14

Solution for 4x=10+2y;-6/5x+y=23/5 system of equations: 


  • /| 4*x-(2*y)-10 = 0| (-6/5)*x+y-(23/5) = 0
  • We try to solve the equation: 4*x-(2*y)-10 = 0
  • 4*x-2*y-10 = 0 // - 4*x-10
  • -2*y = -(4*x-10) // : -2
  • y = (-(4*x-10))/(-2)
  • y = (10-(4*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (10-(4*x))/(-2)+(-6/5)*x-(23/5) = 0| y = (10-(4*x))/(-2)
  • (10-4*x)/(-2)+(-6*x)/5-23/5 = 0
  • 4/5*x-5-23/5 = 0
  • 4/5*x-48/5 = 0
  • 4/5*x-48/5 = 0 // + 48/5
  • 4/5*x = 48/5 // : 4/5
  • x = 48/5/4/5
  • x = 12
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(4*x))/(-2): 
  • y = (10-(4*12))/(-2)
  • y = (10-48)/(-2)
  • y = -38/(-2)
  • y = 19
  • We get a system of equations:
  • /| y = 19| x = 12

 

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