7x-y=27;9x-4y=3

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

Solution for 7x-y=27;9x-4y=3 system of equations:


  • /| 7*x-y-27 = 0| 9*x-(4*y)-3 = 0
  • We try to solve the equation: 7*x-y-27 = 0
  • 7*x-y-27 = 0 / - 7*x-27
  • -y = -(7*x-27) / * -1
  • y = 7*x-27
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*x-(4*(7*x-27))-3 = 0| y = 7*x-27
  • 9*x-1*4*(7*x-27)-3 = 0
  • 108-19*x-3 = 0
  • 105-19*x = 0
  • 105-19*x = 0 / - 105
  • -19*x = -105 / : -19
  • x = -105/(-19)
  • x = 105/19
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 7*x-27:
  • y = 105/19*7-27
  • y = 735/19-27
  • y = 222/19
  • We get a system of equations:
  • /| y = 222/19| x = 105/19

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