0.06x-0.01y=2.1;0.26x+0.15y=14.9

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

Solution for 0.06x-0.01y=2.1;0.26x+0.15y=14.9 system of equations: 


  • /| 0.06*x-(0.01*y)-2.1 = 0| 0.26*x+0.15*y-14.9 = 0
  • We try to solve the equation: 0.06*x-(0.01*y)-2.1 = 0
  • 0.06*x-0.01*y-2.1 = 0 // - 0.06*x-2.1
  • -0.01*y = -(0.06*x-2.1) // : -0.01
  • y = (-(0.06*x-2.1))/(-0.01)
  • y = -100*(2.1-(0.06*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.26*x-100*0.15*(2.1-(0.06*x))-14.9 = 0| y = -100*(2.1-(0.06*x))
  • 0.26*x-15*(2.1-0.06*x)-14.9 = 0
  • 1.16*x-31.5-14.9 = 0
  • 1.16*x-46.4 = 0
  • 1.16*x-46.4 = 0 // + 46.4
  • 1.16*x = 46.4 // : 1.16
  • x = 46.4/1.16
  • x = 40
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -100*(2.1-(0.06*x)): 
  • y = -100*(2.1-(0.06*40))
  • y = -100*(2.1-2.4)
  • y = -100*(-0.3)
  • y = 0.3*100
  • y = 30
  • We get a system of equations:
  • /| y = 30| x = 40

 

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