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3/x -13/x-11
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3/x -13/x-11=0 so 1/x(3-13)=11 1/x* -10=11 1/x=-11/10 x=-10/11
ok see here: \[3/x - 13/x - 11=0\] \[\text{let us take common 1/x , ok}\] \[1/x(3-13)-11=0\] \[1/x(-10)-11=0\] \[-10/x-11=0\] \[-10/x=11\] \[\text{divide both sides by -10}\] \[1/x=11/-10\] \[1/x=-11/10\] \[\text{multiplying both sides by x}\] \[1=-11/10x\] \[\text{divide both sides by -11/10}\] \[x=-10/11\]
other way maybe faster way 1st take the LCD which is x \[3/x -13/x - 11 = 0 \] \[3 - 13 -11x = 0 ; 10 -11x = 0 ; x = -10/11\]
3/x -13/x have same denominator 3/x -13/x = (3-13/x = -10/x 3/x -13/x -11 =0 -10/x -11 = 0 Add 10x on both sides -11 = 10x Divide by 10 -11/10 = x
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