Question

If 1/3 + 1/2 + 1/x = 4, then what is the value of x?​

Answer 1

$\huge{\underline{\bf{ Solution:-}}}$

$\\ \sf\bull\dashrightarrow \dfrac{1}{3}+\dfrac{1}{2}+\dfrac{1}{x}=4$

$\\ \sf\bull\dashrightarrow \dfrac{2x+3x+6}{6x}=4$

$\\ \sf\bull\dashrightarrow \dfrac{5x+6}{6x}=4$

$\\ \sf\bull\dashrightarrow 5x+6=4(6x)$

$\\ \sf\bull\dashrightarrow 5x+6=24x$

$\\ \sf\bull\dashrightarrow 6=24x-5x$

$\\ \sf\bull\dashrightarrow 6=19x$

$\\ \sf\bull\dashrightarrow x=\dfrac{6}{19}$.

Answer 2

Answer:

$(1 \div 3) + (1 \div 2) + (1 \div x) = 4 \\ (5 \div 6) + (1 \div x) = 4 \\ (1 \div x) = 4 - (5 \div 6) \\ (1 \div x) = - 19 \div 6 \\ x = - 6 \div 19$

this is value of x is -6/19.