15x-10y=-1;5y=1+10x

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Solution for 15x-10y=-1;5y=1+10x system of equations: 


  • /| 15*x-(10*y)+1 = 0| 5*y-(10*x)-1 = 0
  • We try to solve the equation: 15*x-(10*y)+1 = 0
  • 15*x-10*y+1 = 0 // - 15*x+1
  • -10*y = -(15*x+1) // : -10
  • y = (-(15*x+1))/(-10)
  • y = (15*x+1)/10
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((15*x+1)/10)-(10*x)-1 = 0| y = (15*x+1)/10
  • (5*(15*x+1))/10-10*x-1 = 0
  • 1/2-5/2*x-1 = 0
  • -5/2*x-1/2 = 0
  • -5/2*x-1/2 = 0 // + 1/2
  • -5/2*x = 1/2 // : -5/2
  • x = 1/2/(-5/2)
  • x = -1/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15*x+1)/10: 
  • y = (1-1/5*15)/10
  • y = (1-3)/10
  • y = -2/10
  • y = -1/5
  • We get a system of equations:
  • /| y = -1/5| x = -1/5

 

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