0.2x-0.1y=0.1;0.01x+0.04y=0.23

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2x+y=8
x+3y=14

Solution for 0.2x-0.1y=0.1;0.01x+0.04y=0.23 system of equations: 


  • /| 0.2*x-(0.1*y)-0.1 = 0| 0.01*x+0.04*y-0.23 = 0
  • We try to solve the equation: 0.2*x-(0.1*y)-0.1 = 0
  • 0.2*x-0.1*y-0.1 = 0 // - 0.2*x-0.1
  • -0.1*y = -(0.2*x-0.1) // : -0.1
  • y = (-(0.2*x-0.1))/(-0.1)
  • y = -10*(0.1-(0.2*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.01*x-10*0.04*(0.1-(0.2*x))-0.23 = 0| y = -10*(0.1-(0.2*x))
  • 0.01*x-0.4*(0.1-0.2*x)-0.23 = 0
  • 0.09*x-0.23-0.04 = 0
  • 0.09*x-0.27 = 0
  • 0.09*x-0.27 = 0 // + 0.27
  • 0.09*x = 0.27 // : 0.09
  • x = 0.27/0.09
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -10*(0.1-(0.2*x)): 
  • y = -10*(0.1-(0.2*3))
  • y = -10*(0.1-0.6)
  • y = -10*(-0.5)
  • y = 0.5*10
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = 3

 

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