0.1x+0.8y=-1.8;0.2x-0.9y=3.9

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 0.1x+0.8y=-1.8;0.2x-0.9y=3.9 system of equations: 


  • /| 0.1*x+0.8*y+1.8 = 0| 0.2*x-(0.9*y)-3.9 = 0
  • We try to solve the equation: 0.1*x+0.8*y+1.8 = 0
  • 0.1*x+0.8*y+1.8 = 0 // - 0.1*x+1.8
  • 0.8*y = -(0.1*x+1.8) // : 0.8
  • y = (-(0.1*x+1.8))/0.8
  • y = -1.25*(0.1*x+1.8)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 0.2*x-(-1.25*0.9*(0.1*x+1.8))-3.9 = 0| y = -1.25*(0.1*x+1.8)
  • 0.2*x-1.125*(-1)*(0.1*x+1.8)-3.9 = 0
  • 0.3125*x-3.9+2.025 = 0
  • 0.3125*x-1.875 = 0
  • 0.3125*x-1.875 = 0 // + 1.875
  • 0.3125*x = 1.875 // : 0.3125
  • x = 1.875/0.3125
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -1.25*(0.1*x+1.8): 
  • y = -1.25*(0.1*6+1.8)
  • y = -1.25*(0.6+1.8)
  • y = -1.25*2.4
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 6

 

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