Question

4/5x-1/6=9/2-2x(by transposition method)​

Answer 1

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Answer 2

Question:

$\frac{4x}{5} - \frac{1}{6} = \frac{9}{2} - 2x$

Answer:

$The \: value \: of \: \boxed{x \: is \: \frac{5}{3} }$

Step-by-step explanation:

$\frac{4x}{5} - \frac{1}{6} = \frac{9}{2} - 2x$

L.C.M in L.H.S. = 30

L.C.M in R.H.S. = 2

$\frac{24x - 5}{30} = \frac{9 - 4x}{2}$

$\frac{24x - 5}{15} = \frac{9 - 4x}{1}$

Now cross multiplying,

$1(24x - 5) = 15(9 - 4x)$

$24x - 5 = 135 - 60x$

$60x + 24x = 135 + 5$

$84x = 140$

$21x = 35------------------>1$

$3x = 5$

$\boxed{x = \frac{5}{3}}$

Verification:

Substituting the value of x in eq 1

$21( \frac{5}{3} ) = 35$

$7 \times 5 = 35$

$35 = 35$

Hence verified.

Note:

An exchange of two elements of an ordered list with all others staying the same is known as transposition method .