3x+3y=12;11x+5y=2

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

Solution for 3x+3y=12;11x+5y=2 system of equations: 


  • /| 3*x+3*y-12 = 0| 11*x+5*y-2 = 0
  • We try to solve the equation: 3*x+3*y-12 = 0
  • 3*x+3*y-12 = 0 // - 3*x-12
  • 3*y = -(3*x-12) // : 3
  • y = (-(3*x-12))/3
  • y = (12-(3*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((12-(3*x))/3)+11*x-2 = 0| y = (12-(3*x))/3
  • (5*(12-3*x))/3+11*x-2 = 0
  • 6*x-2+20 = 0
  • 6*x+18 = 0
  • 6*x+18 = 0 // - 18
  • 6*x = -18 // : 6
  • x = -18/6
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (12-(3*x))/3: 
  • y = (12-(-3*3))/3
  • y = (9+12)/3
  • y = 21/3
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = -3

 

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