y=-1/4x-1;2x-4y=16

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Solution for y=-1/4x-1;2x-4y=16 system of equations: 


  • /| y-((-1/4)*x)+1 = 0| 2*x-(4*y)-16 = 0
  • We try to solve the equation: y-((-1/4)*x)+1 = 0
  • 1/4*x+y+1 = 0 // - 1/4*x+1
  • y = -(1/4*x+1)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-(4*(-(1/4*x+1)))-16 = 0| y = -(1/4*x+1)
  • 2*x-1*4*(-1/4*x-1)-16 = 0
  • 3*x-16+4 = 0
  • 3*x-12 = 0
  • 3*x-12 = 0 // + 12
  • 3*x = 12 // : 3
  • x = 12/3
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(1/4*x+1): 
  • y = -(1/4*4+1)
  • y = -(1+1)
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 4

 

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