0=-11y+8x+33;-1+4/9x+1/3y=0

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

Solution for 0=-11y+8x+33;-1+4/9x+1/3y=0 system of equations:


  • /| 0-(8*x)-(-11*y)-33 = 0| (4/9)*x+(1/3)*y-1 = 0
  • We try to solve the equation: 0-(8*x)-(-11*y)-33 = 0
  • 11*y-8*x-33 = 0 / + -8*x-33
  • 11*y = -(-8*x-33) / : 11
  • y = (-(-8*x-33))/11
  • y = (33-(-8*x))/11
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1/3)*((33-(-8*x))/11)+(4/9)*x-1 = 0| y = (33-(-8*x))/11
  • (1/3*(8*x+33))/11+(4*x)/9-1 = 0
  • 68/99*x-1+1 = 0
  • 68/99*x = 0
  • 68/99*x = 0 / : 68/99
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (33-(-8*x))/11:
  • y = (33-(-8*0))/11
  • y = (0+33)/11
  • y = 33/11
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 0

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