4/5x-y=-9/5;2x+y/3=-14/5

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

Solution for 4/5x-y=-9/5;2x+y/3=-14/5 system of equations: 


  • /| (4/5)*x-y-(-9/5) = 0| 2*x+y/3-(-14/5) = 0
  • We try to solve the equation: (4/5)*x-y-(-9/5) = 0
  • 4/5*x-y+9/5 = 0 // - 4/5*x+9/5
  • -y = -(4/5*x+9/5) // * -1
  • y = 4/5*x+9/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (4/5*x+9/5)/3+2*x-(-14/5) = 0| y = 4/5*x+9/5
  • (4/5*x+9/5)/3+2*x+14/5 = 0
  • 34/15*x+3/5+14/5 = 0
  • 34/15*x+17/5 = 0
  • 34/15*x+17/5 = 0 // - 17/5
  • 34/15*x = -17/5 // : 34/15
  • x = -17/5/34/15
  • x = -3/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 4/5*x+9/5: 
  • y = 9/5-3/2*4/5
  • y = 9/5-6/5
  • y = 3/5
  • We get a system of equations:
  • /| y = 3/5| x = -3/2

 

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