6x+4y=9;y=5-7x

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Solution for 6x+4y=9;y=5-7x system of equations: 


  • /| 6*x+4*y-9 = 0| 7*x+y-5 = 0
  • We try to solve the equation: 6*x+4*y-9 = 0
  • 6*x+4*y-9 = 0 // - 6*x-9
  • 4*y = -(6*x-9) // : 4
  • y = (-(6*x-9))/4
  • y = (9-(6*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (9-(6*x))/4+7*x-5 = 0| y = (9-(6*x))/4
  • (9-6*x)/4+7*x-5 = 0
  • 11/2*x-5+9/4 = 0
  • 11/2*x-11/4 = 0
  • 11/2*x-11/4 = 0 // + 11/4
  • 11/2*x = 11/4 // : 11/2
  • x = 11/4/11/2
  • x = 1/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (9-(6*x))/4: 
  • y = (9-(1/2*6))/4
  • y = (9-3)/4
  • y = 6/4
  • y = 3/2
  • We get a system of equations:
  • /| y = 3/2| x = 1/2

 

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