y=5-5x;10x+2y=10

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2x+y=8
x+3y=14

Solution for y=5-5x;10x+2y=10 system of equations: 


  • /| 5*x+y-5 = 0| 10*x+2*y-10 = 0
  • We try to solve the equation: 5*x+y-5 = 0
  • 5*x+y-5 = 0 // - 5*x-5
  • y = -(5*x-5)
  • y = 5-(5*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(5-(5*x))+10*x-10 = 0| y = 5-(5*x)
  • 2*(5-5*x)+10*x-10 = 0
  • 10-10 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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