3x-4y16;4x+3y9

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

Solution for 3x-4y16;4x+3y9 system of equations: 


  • /| 3*x-(4*y)-16 = 0| 4*x+3*y-9 = 0
  • We try to solve the equation: 3*x-(4*y)-16 = 0
  • 3*x-4*y-16 = 0 // - 3*x-16
  • -4*y = -(3*x-16) // : -4
  • y = (-(3*x-16))/(-4)
  • y = (16-(3*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((16-(3*x))/(-4))+4*x-9 = 0| y = (16-(3*x))/(-4)
  • (3*(16-3*x))/(-4)+4*x-9 = 0
  • 25/4*x-12-9 = 0
  • 25/4*x-21 = 0
  • 25/4*x-21 = 0 // + 21
  • 25/4*x = 21 // : 25/4
  • x = 21/25/4
  • x = 84/25
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-(3*x))/(-4): 
  • y = (16-(3*84/25))/(-4)
  • y = (16-252/25)/(-4)
  • y = 148/25/(-4)
  • y = -37/25
  • We get a system of equations:
  • /| y = -37/25| x = 84/25

 

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