6x-2y=2;y=3x-1

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

Solution for 6x-2y=2;y=3x-1 system of equations: 


  • /| 6*x-(2*y)-2 = 0| y-(3*x)+1 = 0
  • We try to solve the equation: 6*x-(2*y)-2 = 0
  • 6*x-2*y-2 = 0 // - 6*x-2
  • -2*y = -(6*x-2) // : -2
  • y = (-(6*x-2))/(-2)
  • y = (2-(6*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (2-(6*x))/(-2)-(3*x)+1 = 0| y = (2-(6*x))/(-2)
  • (2-6*x)/(-2)-3*x+1 = 0
  • 1-1 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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