5x-2y=10;4x+y=-5

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


  • /| 5*x-(2*y)-10 = 0| 4*x+y+5 = 0
  • We try to solve the equation: 5*x-(2*y)-10 = 0
  • 5*x-2*y-10 = 0 // - 5*x-10
  • -2*y = -(5*x-10) // : -2
  • y = (-(5*x-10))/(-2)
  • y = (10-(5*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (10-(5*x))/(-2)+4*x+5 = 0| y = (10-(5*x))/(-2)
  • (10-5*x)/(-2)+4*x+5 = 0
  • 13/2*x-5+5 = 0
  • 13/2*x = 0
  • 13/2*x = 0 // : 13/2
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(5*x))/(-2): 
  • y = (10-(0*5))/(-2)
  • y = (0+10)/(-2)
  • y = 10/(-2)
  • y = -5
  • We get a system of equations:
  • /| y = -5| x = 0

 

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