7x+9y=-3;x=13-8y

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Solution for 7x+9y=-3;x=13-8y system of equations: 


  • /| 7*x+9*y+3 = 0| x+8*y-13 = 0
  • We try to solve the equation: 7*x+9*y+3 = 0
  • 7*x+9*y+3 = 0 // - 7*x+3
  • 9*y = -(7*x+3) // : 9
  • y = (-(7*x+3))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((-(7*x+3))/9)+x-13 = 0| y = (-(7*x+3))/9
  • (8*(-7*x-3))/9+x-13 = 0
  • -47/9*x-13-8/3 = 0
  • -47/9*x-47/3 = 0
  • -47/9*x-47/3 = 0 // + 47/3
  • -47/9*x = 47/3 // : -47/9
  • x = 47/3/(-47/9)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(7*x+3))/9: 
  • y = (-(3-3*7))/9
  • y = (-(3-21))/9
  • y = 18/9
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -3

 

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