x+9y=-36;x-8y=15

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

Solution for x+9y=-36;x-8y=15 system of equations: 


  • /| x+9*y+36 = 0| x-(8*y)-15 = 0
  • We try to solve the equation: x+9*y+36 = 0
  • x+9*y+36 = 0 // - x+36
  • 9*y = -(x+36) // : 9
  • y = (-(x+36))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(8*((-(x+36))/9))-15 = 0| y = (-(x+36))/9
  • (-1*8*(-x-36))/9+x-15 = 0
  • 17/9*x-15+32 = 0
  • 17/9*x+17 = 0
  • 17/9*x+17 = 0 // - 17
  • 17/9*x = -17 // : 17/9
  • x = -17/17/9
  • x = -9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(x+36))/9: 
  • y = (-(36-9))/9
  • y = -27/9
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = -9

 

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