5x+3y=31;2x+3y=25

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

Solution for 5x+3y=31;2x+3y=25 system of equations: 


  • /| 5*x+3*y-31 = 0| 2*x+3*y-25 = 0
  • We try to solve the equation: 5*x+3*y-31 = 0
  • 5*x+3*y-31 = 0 // - 5*x-31
  • 3*y = -(5*x-31) // : 3
  • y = (-(5*x-31))/3
  • y = (31-(5*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((31-(5*x))/3)+2*x-25 = 0| y = (31-(5*x))/3
  • (3*(31-5*x))/3+2*x-25 = 0
  • 31-3*x-25 = 0
  • 6-3*x = 0
  • 6-3*x = 0 // - 6
  • -3*x = -6 // : -3
  • x = -6/(-3)
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (31-(5*x))/3: 
  • y = (31-(2*5))/3
  • y = (31-10)/3
  • y = 21/3
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 2

 

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