2x-2y=-2;y=4x-5

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

Solution for 2x-2y=-2;y=4x-5 system of equations:


  • /| 2*x-(2*y)+2 = 0| y-(4*x)+5 = 0
  • We try to solve the equation: 2*x-(2*y)+2 = 0
  • 2*x-2*y+2 = 0 / - 2*x+2
  • -2*y = -(2*x+2) / : -2
  • y = (-(2*x+2))/(-2)
  • y = (2*x+2)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (2*x+2)/2-(4*x)+5 = 0| y = (2*x+2)/2
  • (2*x+2)/2-4*x+5 = 0
  • 1-3*x+5 = 0
  • 6-3*x = 0
  • 6-3*x = 0 / - 6
  • -3*x = -6 / : -3
  • x = -6/(-3)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2*x+2)/2:
  • y = (2*2+2)/2
  • y = (2+4)/2
  • y = 6/2
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 2

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