0.1x+0.5y=-0.8;0.8x-0.6y=7.4

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

Solution for 0.1x+0.5y=-0.8;0.8x-0.6y=7.4 system of equations: 


  • /| 0.1*x+0.5*y+0.8 = 0| 0.8*x-(0.6*y)-7.4 = 0
  • We try to solve the equation: 0.1*x+0.5*y+0.8 = 0
  • 0.1*x+0.5*y+0.8 = 0 // - 0.1*x+0.8
  • 0.5*y = -(0.1*x+0.8) // : 0.5
  • y = (-(0.1*x+0.8))/0.5
  • y = -2*(0.1*x+0.8)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.8*x-(-2*0.6*(0.1*x+0.8))-7.4 = 0| y = -2*(0.1*x+0.8)
  • 0.8*x-1.2*(-1)*(0.1*x+0.8)-7.4 = 0
  • 0.92*x-7.4+0.96 = 0
  • 0.92*x-6.44 = 0
  • 0.92*x-6.44 = 0 // + 6.44
  • 0.92*x = 6.44 // : 0.92
  • x = 6.44/0.92
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -2*(0.1*x+0.8): 
  • y = -2*(0.1*7+0.8)
  • y = -2*(0.7+0.8)
  • y = -2*1.5
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 7

 

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