3x+2y=-3;x=21-8y

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

Solution for 3x+2y=-3;x=21-8y system of equations:


  • /| 3*x+2*y+3 = 0| x+8*y-21 = 0
  • We try to solve the equation: 3*x+2*y+3 = 0
  • 3*x+2*y+3 = 0 / - 3*x+3
  • 2*y = -(3*x+3) / : 2
  • y = (-(3*x+3))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((-(3*x+3))/2)+x-21 = 0| y = (-(3*x+3))/2
  • (8*(-3*x-3))/2+x-21 = 0
  • -11*x-21-12 = 0
  • -11*x-33 = 0
  • -11*x-33 = 0 / + 33
  • -11*x = 33 / : -11
  • x = 33/(-11)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+3))/2:
  • y = (-(3-3*3))/2
  • y = (-(3-9))/2
  • y = 6/2
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -3

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