Answer :
10x=1.1...
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9
[tex]x=0.\overline{1}\\10x=1.\overline{1}\\
10x-x=1.\overline{1}-0.\overline{1}\\
9x=1\\
x=\dfrac{1}{9}
[/tex]