Question 146785
{{{1/t + 1/(2t) + 1/(3t) = 5}}} Start with the given equation



{{{6cross(t)(1/cross(t)) + 6cross(t)(1/(cross(2)cross(t))) + 6cross(t)(1/(cross(3)cross(t))) = 6t(5)}}} Multiply <b>all</b> of the terms on both sides by the LCD {{{6t}}} to clear the fractions.



{{{6+3+2=30t}}} Simplify



{{{11=30t}}} Combine like terms



{{{11/30=t}}} Divide both sides by 30 to isolate t




So the answer is {{{t=11/30}}}