x-7y=6;-3x+21y=-18

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

Solution for x-7y=6;-3x+21y=-18 system of equations: 


  • /| x-(7*y)-6 = 0| 21*y-3*x+18 = 0
  • We try to solve the equation: x-(7*y)-6 = 0
  • x-7*y-6 = 0 // - x-6
  • -7*y = -(x-6) // : -7
  • y = (-(x-6))/(-7)
  • y = (6-x)/(-7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 21*((6-x)/(-7))-3*x+18 = 0| y = (6-x)/(-7)
  • (21*(6-x))/(-7)-3*x+18 = 0
  • 18-18 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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