0.1x+0.7y=-4;0.6x-0.8y=6

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Solution for 0.1x+0.7y=-4;0.6x-0.8y=6 system of equations: 


  • /| 0.1*x+0.7*y+4 = 0| 0.6*x-(0.8*y)-6 = 0
  • We try to solve the equation: 0.1*x+0.7*y+4 = 0
  • 0.1*x+0.7*y+4 = 0 // - 0.1*x+4
  • 0.7*y = -(0.1*x+4) // : 0.7
  • y = (-(0.1*x+4))/0.7
  • y = -1.42857143*(0.1*x+4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.6*x-(-1.42857143*0.8*(0.1*x+4))-6 = 0| y = -1.42857143*(0.1*x+4)
  • 0.6*x-1.142857144*(-1)*(0.1*x+4)-6 = 0
  • 0.7142857144*x-6+4.571428576 = 0
  • 0.7142857144*x-1.428571424 = 0
  • 0.7142857144*x-1.428571424 = 0 // + 1.428571424
  • 0.7142857144*x = 1.428571424 // : 0.7142857144
  • x = 1.428571424/0.7142857144
  • x = 1.99999999
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -1.42857143*(0.1*x+4): 
  • y = -1.42857143*(0.1*1.99999999+4)
  • y = -1.42857143*(0.199999999+4)
  • y = -1.42857143*4.199999999
  • y = -6.00000000457142857
  • We get a system of equations:
  • /| y = -6.00000000457142857| x = 1.99999999

 

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