5x+9y=26;2x+7y=7

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Solution for 5x+9y=26;2x+7y=7 system of equations: 


  • /| 5*x+9*y-26 = 0| 2*x+7*y-7 = 0
  • We try to solve the equation: 5*x+9*y-26 = 0
  • 5*x+9*y-26 = 0 // - 5*x-26
  • 9*y = -(5*x-26) // : 9
  • y = (-(5*x-26))/9
  • y = (26-(5*x))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((26-(5*x))/9)+2*x-7 = 0| y = (26-(5*x))/9
  • (7*(26-5*x))/9+2*x-7 = 0
  • 182/9-17/9*x-7 = 0
  • 119/9-17/9*x = 0
  • 119/9-17/9*x = 0 // - 119/9
  • -17/9*x = -119/9 // : -17/9
  • x = -119/9/(-17/9)
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(5*x))/9: 
  • y = (26-(5*7))/9
  • y = (26-35)/9
  • y = -9/9
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = 7

 

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