4x+3y=11;3x-3y=3

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

Solution for 4x+3y=11;3x-3y=3 system of equations: 


  • /| 4*x+3*y-11 = 0| 3*x-(3*y)-3 = 0
  • We try to solve the equation: 4*x+3*y-11 = 0
  • 4*x+3*y-11 = 0 // - 4*x-11
  • 3*y = -(4*x-11) // : 3
  • y = (-(4*x-11))/3
  • y = (11-(4*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(3*((11-(4*x))/3))-3 = 0| y = (11-(4*x))/3
  • (-1*3*(11-4*x))/3+3*x-3 = 0
  • 7*x-11-3 = 0
  • 7*x-14 = 0
  • 7*x-14 = 0 // + 14
  • 7*x = 14 // : 7
  • x = 14/7
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (11-(4*x))/3: 
  • y = (11-(2*4))/3
  • y = (11-8)/3
  • y = 3/3
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 2

 

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