x+y=56;0.25x+0.05y=6.20

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

Solution for x+y=56;0.25x+0.05y=6.20 system of equations: 


  • /| x+y-56 = 0| 0.25*x+0.05*y-6.2 = 0
  • We try to solve the equation: x+y-56 = 0
  • x+y-56 = 0 // - x-56
  • y = -(x-56)
  • y = 56-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.05*(56-x)+0.25*x-6.2 = 0| y = 56-x
  • 0.05*(56-x)+0.25*x-6.2 = 0
  • 0.2*x-6.2+2.8 = 0
  • 0.2*x-3.4 = 0
  • 0.2*x-3.4 = 0 // + 3.4
  • 0.2*x = 3.4 // : 0.2
  • x = 3.4/0.2
  • x = 17
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 56-x: 
  • y = 56-17
  • y = 39
  • We get a system of equations:
  • /| y = 39| x = 17

 

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