2x+3y=1;-3x-2y=-1

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for example:
2x+y=8
x+3y=14

Solution for 2x+3y=1;-3x-2y=-1 system of equations:


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

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