4x-9y=-16;2x+5y=11

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Solution for 4x-9y=-16;2x+5y=11 system of equations: 


  • /| 4*x-(9*y)+16 = 0| 2*x+5*y-11 = 0
  • We try to solve the equation: 4*x-(9*y)+16 = 0
  • 4*x-9*y+16 = 0 // - 4*x+16
  • -9*y = -(4*x+16) // : -9
  • y = (-(4*x+16))/(-9)
  • y = (4*x+16)/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((4*x+16)/9)+2*x-11 = 0| y = (4*x+16)/9
  • (5*(4*x+16))/9+2*x-11 = 0
  • 38/9*x-11+80/9 = 0
  • 38/9*x-19/9 = 0
  • 38/9*x-19/9 = 0 // + 19/9
  • 38/9*x = 19/9 // : 38/9
  • x = 19/9/38/9
  • x = 1/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+16)/9: 
  • y = (1/2*4+16)/9
  • y = (2+16)/9
  • y = 18/9
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 1/2

 

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