3x-5y=10;5x+3y=28

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

Solution for 3x-5y=10;5x+3y=28 system of equations: 


  • /| 3*x-(5*y)-10 = 0| 5*x+3*y-28 = 0
  • We try to solve the equation: 3*x-(5*y)-10 = 0
  • 3*x-5*y-10 = 0 // - 3*x-10
  • -5*y = -(3*x-10) // : -5
  • y = (-(3*x-10))/(-5)
  • y = (10-(3*x))/(-5)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((10-(3*x))/(-5))+5*x-28 = 0| y = (10-(3*x))/(-5)
  • (3*(10-3*x))/(-5)+5*x-28 = 0
  • 34/5*x-28-6 = 0
  • 34/5*x-34 = 0
  • 34/5*x-34 = 0 // + 34
  • 34/5*x = 34 // : 34/5
  • x = 34/34/5
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(3*x))/(-5): 
  • y = (10-(3*5))/(-5)
  • y = (10-15)/(-5)
  • y = -5/(-5)
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 5

 

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