x=7y+9;-3x+21y=-27

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

Solution for x=7y+9;-3x+21y=-27 system of equations: 


  • /| x-(7*y)-9 = 0| 21*y-3*x+27 = 0
  • We try to solve the equation: x-(7*y)-9 = 0
  • x-7*y-9 = 0 // - x-9
  • -7*y = -(x-9) // : -7
  • y = (-(x-9))/(-7)
  • y = (9-x)/(-7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 21*((9-x)/(-7))-3*x+27 = 0| y = (9-x)/(-7)
  • (21*(9-x))/(-7)-3*x+27 = 0
  • 27-27 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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