1/2x+1/5y=1/5;1/2x+3y=17

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

Solution for 1/2x+1/5y=1/5;1/2x+3y=17 system of equations: 


  • /| (1/2)*x+(1/5)*y-(1/5) = 0| (1/2)*x+3*y-17 = 0
  • We try to solve the equation: (1/2)*x+(1/5)*y-(1/5) = 0
  • 1/2*x+1/5*y-1/5 = 0 // - 1/2*x-1/5
  • 1/5*y = -(1/2*x-1/5) // : 1/5
  • y = (-(1/2*x-1/5))/1/5
  • y = 5*(1/5-(1/2*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*5*(1/5-(1/2*x))+(1/2)*x-17 = 0| y = 5*(1/5-(1/2*x))
  • 15*(1/5-1/2*x)+x/2-17 = 0
  • 3-7*x-17 = 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 = 5*(1/5-(1/2*x)): 
  • y = 5*(1/5-(-2*1/2))
  • y = 5*(1/5+1)
  • y = 6/5*5
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -2

 

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