5x+2y=48;3x+2y=32

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for example:
2x+y=8
x+3y=14

Solution for 5x+2y=48;3x+2y=32 system of equations: 


  • /| 5*x+2*y-48 = 0| 3*x+2*y-32 = 0
  • We try to solve the equation: 5*x+2*y-48 = 0
  • 5*x+2*y-48 = 0 // - 5*x-48
  • 2*y = -(5*x-48) // : 2
  • y = (-(5*x-48))/2
  • y = (48-(5*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((48-(5*x))/2)+3*x-32 = 0| y = (48-(5*x))/2
  • (2*(48-5*x))/2+3*x-32 = 0
  • 48-2*x-32 = 0
  • 16-2*x = 0
  • 16-2*x = 0 // - 16
  • -2*x = -16 // : -2
  • x = -16/(-2)
  • x = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (48-(5*x))/2: 
  • y = (48-(5*8))/2
  • y = (48-40)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 8

 

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