x+y=40;132x+91y=5034

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

Solution for x+y=40;132x+91y=5034 system of equations: 


  • /| x+y-40 = 0| 132*x+91*y-5034 = 0
  • We try to solve the equation: x+y-40 = 0
  • x+y-40 = 0 // - x-40
  • y = -(x-40)
  • y = 40-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 91*(40-x)+132*x-5034 = 0| y = 40-x
  • 91*(40-x)+132*x-5034 = 0
  • 41*x-5034+3640 = 0
  • 41*x-1394 = 0
  • 41*x-1394 = 0 // + 1394
  • 41*x = 1394 // : 41
  • x = 1394/41
  • x = 34
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 40-x: 
  • y = 40-34
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = 34

 

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