5x+9y=2;6x+8y=-6

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for example:
2x+y=8
x+3y=14

Solution for 5x+9y=2;6x+8y=-6 system of equations: 


  • /| 5*x+9*y-2 = 0| 6*x+8*y+6 = 0
  • We try to solve the equation: 5*x+9*y-2 = 0
  • 5*x+9*y-2 = 0 // - 5*x-2
  • 9*y = -(5*x-2) // : 9
  • y = (-(5*x-2))/9
  • y = (2-(5*x))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((2-(5*x))/9)+6*x+6 = 0| y = (2-(5*x))/9
  • (8*(2-5*x))/9+6*x+6 = 0
  • 14/9*x+16/9+6 = 0
  • 14/9*x+70/9 = 0
  • 14/9*x+70/9 = 0 // - 70/9
  • 14/9*x = -70/9 // : 14/9
  • x = -70/9/14/9
  • x = -5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2-(5*x))/9: 
  • y = (2-(-5*5))/9
  • y = (2+25)/9
  • y = 27/9
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -5

 

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