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

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for x=2y-8;-2x+3y=14 system of equations:


  • /| x-(2*y)+8 = 0| 3*y-2*x-14 = 0
  • We try to solve the equation: x-(2*y)+8 = 0
  • x-2*y+8 = 0 / - x+8
  • -2*y = -(x+8) / : -2
  • y = (-(x+8))/(-2)
  • y = (x+8)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((x+8)/2)-2*x-14 = 0| y = (x+8)/2
  • (3*(x+8))/2-2*x-14 = 0
  • 12-1/2*x-14 = 0
  • -1/2*x-2 = 0
  • -1/2*x-2 = 0 / + 2
  • -1/2*x = 2 / : -1/2
  • x = 2/(-1/2)
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+8)/2:
  • y = (8-4)/2
  • y = 4/2
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -4

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