x+4y=1;5x+4y=-11

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2x+y=8
x+3y=14

Solution for x+4y=1;5x+4y=-11 system of equations:


  • /| x+4*y-1 = 0| 5*x+4*y+11 = 0
  • We try to solve the equation: x+4*y-1 = 0
  • x+4*y-1 = 0 / - x-1
  • 4*y = -(x-1) / : 4
  • y = (-(x-1))/4
  • y = (1-x)/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((1-x)/4)+5*x+11 = 0| y = (1-x)/4
  • (4*(1-x))/4+5*x+11 = 0
  • 4*x+1+11 = 0
  • 4*x+12 = 0
  • 4*x+12 = 0 / - 12
  • 4*x = -12 / : 4
  • x = -12/4
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-x)/4:
  • y = (1+3)/4
  • y = 4/4
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -3

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