Question

3x+1/5=2-x(by transposition method)​

Answer 1

Answer:

x = 3/10

Step-by-step explanation:

3x + 1/5 = 2-x

3x +x = 2- 1/5

4x = 6/5

x = 6/5 div by 4 = 6/5 x 1/4 = 6/20 = 3/10

x = 3/10

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Answer 2

Question:

$3x + \frac{1}{5} = 2 - x$

Answer:

$\boxed{x = \frac{9}{20} }$

Step-by-step explanation:

$3x + \frac{1}{5} = 2 - x$

$L.C.M \: is \: 5$

$\frac{15x + 1}{5} = 2 - x$

Now multiplying by 5 on both sides

$5 \times ( \frac{15x + 1}{5} = 5 \times (2 - x)$

$15x + 1 = 10 - 5x$

$15x + 5x = 10 - 1$

$20x = 9$

$\boxed{x = \frac{9}{20} }$

Note:

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