-5x+8y=1;-9x+7y=-13

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for -5x+8y=1;-9x+7y=-13 system of equations: 


  • /| 8*y-5*x-1 = 0| 7*y-9*x+13 = 0
  • We try to solve the equation: 8*y-5*x-1 = 0
  • 8*y-5*x-1 = 0 // + -5*x-1
  • 8*y = -(-5*x-1) // : 8
  • y = (-(-5*x-1))/8
  • y = (1-(-5*x))/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((1-(-5*x))/8)-9*x+13 = 0| y = (1-(-5*x))/8
  • (7*(5*x+1))/8-9*x+13 = 0
  • 7/8-37/8*x+13 = 0
  • 111/8-37/8*x = 0
  • 111/8-37/8*x = 0 // - 111/8
  • -37/8*x = -111/8 // : -37/8
  • x = -111/8/(-37/8)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(-5*x))/8: 
  • y = (1-(-5*3))/8
  • y = (1+15)/8
  • y = 16/8
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 3

 

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