57x-8y=261;-12x+8y=-36

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

Solution for 57x-8y=261;-12x+8y=-36 system of equations: 


  • /| 57*x-(8*y)-261 = 0| 8*y-12*x+36 = 0
  • We try to solve the equation: 57*x-(8*y)-261 = 0
  • 57*x-8*y-261 = 0 // - 57*x-261
  • -8*y = -(57*x-261) // : -8
  • y = (-(57*x-261))/(-8)
  • y = (261-(57*x))/(-8)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((261-(57*x))/(-8))-12*x+36 = 0| y = (261-(57*x))/(-8)
  • (8*(261-57*x))/(-8)-12*x+36 = 0
  • 45*x-261+36 = 0
  • 45*x-225 = 0
  • 45*x-225 = 0 // + 225
  • 45*x = 225 // : 45
  • x = 225/45
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (261-(57*x))/(-8): 
  • y = (261-(5*57))/(-8)
  • y = (261-285)/(-8)
  • y = -24/(-8)
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 5

 

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