9x-7y=16;y=x-2

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Solution for 9x-7y=16;y=x-2 system of equations: 


  • /| 9*x-(7*y)-16 = 0| y-x+2 = 0
  • We try to solve the equation: 9*x-(7*y)-16 = 0
  • 9*x-7*y-16 = 0 // - 9*x-16
  • -7*y = -(9*x-16) // : -7
  • y = (-(9*x-16))/(-7)
  • y = (16-(9*x))/(-7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (16-(9*x))/(-7)-x+2 = 0| y = (16-(9*x))/(-7)
  • (16-9*x)/(-7)-x+2 = 0
  • 2/7*x-16/7+2 = 0
  • 2/7*x-2/7 = 0
  • 2/7*x-2/7 = 0 // + 2/7
  • 2/7*x = 2/7 // : 2/7
  • x = 2/7/2/7
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-(9*x))/(-7): 
  • y = (16-(1*9))/(-7)
  • y = (16-9)/(-7)
  • y = 7/(-7)
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = 1

 

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