y=-1/2x-5;6x-2y=24

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

Solution for y=-1/2x-5;6x-2y=24 system of equations: 


  • /| y-((-1/2)*x)+5 = 0| 6*x-(2*y)-24 = 0
  • We try to solve the equation: y-((-1/2)*x)+5 = 0
  • 1/2*x+y+5 = 0 // - 1/2*x+5
  • y = -(1/2*x+5)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-(2*(-(1/2*x+5)))-24 = 0| y = -(1/2*x+5)
  • 6*x-1*2*(-1/2*x-5)-24 = 0
  • 7*x-24+10 = 0
  • 7*x-14 = 0
  • 7*x-14 = 0 // + 14
  • 7*x = 14 // : 7
  • x = 14/7
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(1/2*x+5): 
  • y = -(1/2*2+5)
  • y = -(1+5)
  • y = -6
  • We get a system of equations:
  • /| y = -6| x = 2

 

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