0.1x-0.3y=-1.2;1.5y-0.5x=6

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Solution for 0.1x-0.3y=-1.2;1.5y-0.5x=6 system of equations: 


  • /| 0.1*x-(0.3*y)+1.2 = 0| 1.5*y-(0.5*x)-6 = 0
  • We try to solve the equation: 0.1*x-(0.3*y)+1.2 = 0
  • 0.1*x-0.3*y+1.2 = 0 // - 0.1*x+1.2
  • -0.3*y = -(0.1*x+1.2) // : -0.3
  • y = (-(0.1*x+1.2))/(-0.3)
  • y = 3.33333333*(0.1*x+1.2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 1.5*3.33333333*(0.1*x+1.2)-(0.5*x)-6 = 0| y = 3.33333333*(0.1*x+1.2)
  • 4.999999995*(0.1*x+1.2)-0.5*x-6 = 0
  • 5.999999994-0.0000000005*x-6 = 0
  • -0.0000000005*x-0.000000006 = 0
  • -0.0000000005*x-0.000000006 = 0 // + 0.000000006
  • -0.0000000005*x = 0.000000006 // : -0.0000000005
  • x = 0.000000006/(-0.0000000005)
  • x = -12
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3.33333333*(0.1*x+1.2): 
  • y = 3.33333333*(1.2-12*0.1)
  • y = 3.33333333*(1.2-1.2)
  • y = 0*3.33333333
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = -12

 

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