Question 152604
Solve for u:
{{{1/u + 5/(u-2) = 4/(u-2)}}} The LCD is u(u-2), so...
{{{((u-2)+5u)/(u(u-2)) = 4u/(u(u-2))}}} Multiplying through by u(u-2), we get:
{{{(u-2)+5u = 4u}}} Combine like terms.
{{{6u-2 = 4u}}} Subtract 4u from both sides.
{{{2u-2 = 0}}} Add 2 to both sides.
{{{2u = 2}}} Finally, divide both sides by 2.
{{{u = 1}}}