-6x-4y=8;8y=12x-36

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

Solution for -6x-4y=8;8y=12x-36 system of equations: 


  • /| -6*x-(4*y)-8 = 0| 8*y-(12*x)+36 = 0
  • We try to solve the equation: -6*x-(4*y)-8 = 0
  • -6*x-4*y-8 = 0 // + -6*x-8
  • -4*y = -(-6*x-8) // : -4
  • y = (-(-6*x-8))/(-4)
  • y = (8-(-6*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((8-(-6*x))/(-4))-(12*x)+36 = 0| y = (8-(-6*x))/(-4)
  • (8*(6*x+8))/(-4)-12*x+36 = 0
  • 36-24*x-16 = 0
  • 20-24*x = 0
  • 20-24*x = 0 // - 20
  • -24*x = -20 // : -24
  • x = -20/(-24)
  • x = 5/6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (8-(-6*x))/(-4): 
  • y = (8-(-6*5/6))/(-4)
  • y = (5+8)/(-4)
  • y = 13/(-4)
  • y = -13/4
  • We get a system of equations:
  • /| y = -13/4| x = 5/6

 

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