2x-y=3;3x+3y=5

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

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


  • /| 2*x-y-3 = 0| 3*x+3*y-5 = 0
  • We try to solve the equation: 2*x-y-3 = 0
  • 2*x-y-3 = 0 // - 2*x-3
  • -y = -(2*x-3) // * -1
  • y = 2*x-3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*(2*x-3)+3*x-5 = 0| y = 2*x-3
  • 3*(2*x-3)+3*x-5 = 0
  • 9*x-9-5 = 0
  • 9*x-14 = 0
  • 9*x-14 = 0 // + 14
  • 9*x = 14 // : 9
  • x = 14/9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 2*x-3: 
  • y = 2*(14/9)-3
  • y = 14/9*2-3
  • y = 28/9-3
  • y = 1/9
  • We get a system of equations:
  • /| y = 1/9| x = 14/9

 

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