8x+16y=3520;-8x-8y=2560

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

Solution for 8x+16y=3520;-8x-8y=2560 system of equations:


  • /| 8*x+16*y-3520 = 0| -8*x-(8*y)-2560 = 0
  • We try to solve the equation: 8*x+16*y-3520 = 0
  • 8*x+16*y-3520 = 0 / - 8*x-3520
  • 16*y = -(8*x-3520) / : 16
  • y = (-(8*x-3520))/16
  • y = (3520-(8*x))/16
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(8*((3520-(8*x))/16))-8*x-2560 = 0| y = (3520-(8*x))/16
  • (-1*8*(3520-8*x))/16-8*x-2560 = 0
  • -4*x-2560-1760 = 0
  • -4*x-4320 = 0
  • -4*x-4320 = 0 / + 4320
  • -4*x = 4320 / : -4
  • x = 4320/(-4)
  • x = -1080
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3520-(8*x))/16:
  • y = (3520-(-1080*8))/16
  • y = (3520+8640)/16
  • y = 12160/16
  • y = 760
  • We get a system of equations:
  • /| y = 760| x = -1080

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