9x+2y=15;-6x-5y=12

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Solution for 9x+2y=15;-6x-5y=12 system of equations: 


  • /| 9*x+2*y-15 = 0| -6*x-(5*y)-12 = 0
  • We try to solve the equation: 9*x+2*y-15 = 0
  • 9*x+2*y-15 = 0 // - 9*x-15
  • 2*y = -(9*x-15) // : 2
  • y = (-(9*x-15))/2
  • y = (15-(9*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(5*((15-(9*x))/2))-6*x-12 = 0| y = (15-(9*x))/2
  • (-1*5*(15-9*x))/2-6*x-12 = 0
  • 33/2*x-75/2-12 = 0
  • 33/2*x-99/2 = 0
  • 33/2*x-99/2 = 0 // + 99/2
  • 33/2*x = 99/2 // : 33/2
  • x = 99/2/33/2
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15-(9*x))/2: 
  • y = (15-(3*9))/2
  • y = (15-27)/2
  • y = -12/2
  • y = -6
  • We get a system of equations:
  • /| y = -6| x = 3

 

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