Question 152604
{{{(1)/(u)+(5)/(u-2)=(4)/(u-2)}}} Start with the given equation.



{{{(1)/(1u)+(5)/(u-2)=(4)/(u-2)}}} Factor any denominators.



{{{cross(u)(u-2)((1)/cross(u))+u*cross((u-2))((5)/cross((u-2)))=u*cross((u-2))((4)/cross((u-2)))}}} Multiply <font size="4"><b>every</b></font> term on both sides by the LCD {{{u(u-2)}}}. Doing this will eliminate all of the fractions.



{{{u-2+5u=4u}}} Simplify



{{{6u-2=4u}}} Combine like terms on the left side.



{{{6u=4u+2}}} Add {{{2}}} to both sides.



{{{6u-4u=2}}} Subtract {{{4u}}} from both sides.



{{{2u=2}}} Combine like terms on the left side.



{{{u=(2)/(2)}}} Divide both sides by {{{2}}} to isolate {{{u}}}.



{{{u=1}}} Reduce.



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Answer:


So the answer is {{{u=1}}}