3x-y=16;x-4y=16

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

Solution for 3x-y=16;x-4y=16 system of equations: 


  • /| 3*x-y-16 = 0| x-(4*y)-16 = 0
  • We try to solve the equation: 3*x-y-16 = 0
  • 3*x-y-16 = 0 // - 3*x-16
  • -y = -(3*x-16) // * -1
  • y = 3*x-16
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(4*(3*x-16))-16 = 0| y = 3*x-16
  • x-1*4*(3*x-16)-16 = 0
  • 64-11*x-16 = 0
  • 48-11*x = 0
  • 48-11*x = 0 // - 48
  • -11*x = -48 // : -11
  • x = -48/(-11)
  • x = 48/11
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*x-16: 
  • y = 3*48/11-16
  • y = 144/11-16
  • y = -32/11
  • We get a system of equations:
  • /| y = -32/11| x = 48/11

 

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