9x+5y=15;x=38-8y

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2x+y=8
x+3y=14

Solution for 9x+5y=15;x=38-8y system of equations: 


  • /| 9*x+5*y-15 = 0| x+8*y-38 = 0
  • We try to solve the equation: 9*x+5*y-15 = 0
  • 9*x+5*y-15 = 0 // - 9*x-15
  • 5*y = -(9*x-15) // : 5
  • y = (-(9*x-15))/5
  • y = (15-(9*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((15-(9*x))/5)+x-38 = 0| y = (15-(9*x))/5
  • (8*(15-9*x))/5+x-38 = 0
  • 24-67/5*x-38 = 0
  • -67/5*x-14 = 0
  • -67/5*x-14 = 0 // + 14
  • -67/5*x = 14 // : -67/5
  • x = 14/(-67/5)
  • x = -70/67
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15-(9*x))/5: 
  • y = (15-(-70/67*9))/5
  • y = (630/67+15)/5
  • y = 1635/67/5
  • y = 327/67
  • We get a system of equations:
  • /| y = 327/67| x = -70/67

 

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