16y=-8x-32;6x-10y=14

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

Solution for 16y=-8x-32;6x-10y=14 system of equations: 


  • /| 16*y-(-8*x)+32 = 0| 6*x-(10*y)-14 = 0
  • We try to solve the equation: 16*y-(-8*x)+32 = 0
  • 8*x+16*y+32 = 0 // - 8*x+32
  • 16*y = -(8*x+32) // : 16
  • y = (-(8*x+32))/16
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-(10*((-(8*x+32))/16))-14 = 0| y = (-(8*x+32))/16
  • (-1*10*(-8*x-32))/16+6*x-14 = 0
  • 11*x-14+20 = 0
  • 11*x+6 = 0
  • 11*x+6 = 0 // - 6
  • 11*x = -6 // : 11
  • x = -6/11
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(8*x+32))/16: 
  • y = (-(8*(-6/11)+32))/16
  • y = (-(32-6/11*8))/16
  • y = (-(32-48/11))/16
  • y = -304/11/16
  • y = -19/11
  • We get a system of equations:
  • /| y = -19/11| x = -6/11

 

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