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

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

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


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

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