0.1x+0.8y=-4.2;0.3x-0.5y=4.8

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Solution for 0.1x+0.8y=-4.2;0.3x-0.5y=4.8 system of equations: 


  • /| 0.1*x+0.8*y+4.2 = 0| 0.3*x-(0.5*y)-4.8 = 0
  • We try to solve the equation: 0.1*x+0.8*y+4.2 = 0
  • 0.1*x+0.8*y+4.2 = 0 // - 0.1*x+4.2
  • 0.8*y = -(0.1*x+4.2) // : 0.8
  • y = (-(0.1*x+4.2))/0.8
  • y = -1.25*(0.1*x+4.2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.3*x-(-1.25*0.5*(0.1*x+4.2))-4.8 = 0| y = -1.25*(0.1*x+4.2)
  • 0.3*x-1*(-0.625)*(0.1*x+4.2)-4.8 = 0
  • 0.3625*x-4.8+2.625 = 0
  • 0.3625*x-2.175 = 0
  • 0.3625*x-2.175 = 0 // + 2.175
  • 0.3625*x = 2.175 // : 0.3625
  • x = 2.175/0.3625
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -1.25*(0.1*x+4.2): 
  • y = -1.25*(0.1*6+4.2)
  • y = -1.25*(0.6+4.2)
  • y = -1.25*4.8
  • y = -6
  • We get a system of equations:
  • /| y = -6| x = 6

 

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