9x+4y=6;x=40-7y

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Solution for 9x+4y=6;x=40-7y system of equations: 


  • /| 9*x+4*y-6 = 0| x+7*y-40 = 0
  • We try to solve the equation: 9*x+4*y-6 = 0
  • 9*x+4*y-6 = 0 // - 9*x-6
  • 4*y = -(9*x-6) // : 4
  • y = (-(9*x-6))/4
  • y = (6-(9*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((6-(9*x))/4)+x-40 = 0| y = (6-(9*x))/4
  • (7*(6-9*x))/4+x-40 = 0
  • 21/2-59/4*x-40 = 0
  • -59/4*x-59/2 = 0
  • -59/4*x-59/2 = 0 // + 59/2
  • -59/4*x = 59/2 // : -59/4
  • x = 59/2/(-59/4)
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(9*x))/4: 
  • y = (6-(-2*9))/4
  • y = (6+18)/4
  • y = 24/4
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -2

 

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