Question

solve by transposition method
1/6x-1/7=11​

Answer 1

Answer:

• $\leadsto{ \red{ \boxed{ \green{ \tt{x = \bold{ \frac{468}{7} }}}}}}$

Step-by-step explanation:

Given :

• $\sf \frac{1}{6} x - \frac{1}{7} = 11$

To Find :

• the value of x

Solution :

__________________________________________

By Using Transporting Method

$\\ \sf : \implies \frac{1}{6} x - \frac{1 }{7} = 11$

$\\ \sf : \implies \frac{1x}{6} - \frac{1}{7} = 11$

Transport 1/7 to the right side of the equation

• As 1/7 is in negative state in the left side of the equation so when 1/7 will transport to the right side of the equation 1/7 will be positive State.

$\\ \sf : \implies \frac{1x}{6} = 11 + \frac{1}{7}$

$\\ \sf : \implies \frac{1x}{6} = \frac{77 + 1}{7}$

$\\ \sf : \implies \frac{1x}{6} = \frac{78}{7}$

Transport 6 to the right side of the equation

• 6 is in multiple state in the left side of the equation so when 6 will transport to the right side of the equation 6 will be in division state

$\\ \sf : \implies1x = \frac{78}{7} \times 6$

$\\ \sf : \implies 1x = \frac{468}{7}$

1x is similar to x so we don't need to transport 1

$\\ \sf : \implies \boxed{ \frak{ \pink{x = \frac{468}{7} }}}$

__________________________________________

Therefore, the value of x is 468/7.

Answer 2

Answer:

Answer:

\leadsto{ \red{ \boxed{ \green{ \tt{x = \bold{ \frac{468}{7} }}}}}}⇝

x=

7

468

Step-by-step explanation:

Given :

\sf \frac{1}{6} x - \frac{1}{7} = 11

6

1

x−

7

1

=11

To Find :

the value of x

Solution :

__________________________________________

By Using Transporting Method

\begin{lgathered}\\ \sf : \implies \frac{1}{6} x - \frac{1 }{7} = 11 \\ \\\end{lgathered}

:⟹

6

1

x−

7

1

=11

\begin{lgathered}\\ \sf : \implies \frac{1x}{6} - \frac{1}{7} = 11 \\ \\\end{lgathered}

:⟹

6

1x

−

7

1

=11

Transport 1/7 to the right side of the equation

As 1/7 is in negative state in the left side of the equation so when 1/7 will transport to the right side of the equation 1/7 will be positive State.

\begin{lgathered}\\ \sf : \implies \frac{1x}{6} = 11 + \frac{1}{7} \\ \\\end{lgathered}

:⟹

6

1x

=11+

7

1

\begin{lgathered}\\ \sf : \implies \frac{1x}{6} = \frac{77 + 1}{7} \\ \\\end{lgathered}

:⟹

6

1x

=

7

77+1

\begin{lgathered}\\ \sf : \implies \frac{1x}{6} = \frac{78}{7} \\ \\\end{lgathered}

:⟹

6

1x

=

7

78

Transport 6 to the right side of the equation

6 is in multiple state in the left side of the equation so when 6 will transport to the right side of the equation 6 will be in division state

\begin{lgathered}\\ \sf : \implies1x = \frac{78}{7} \times 6 \\ \\\end{lgathered}

:⟹1x=

7

78

×6

\begin{lgathered}\\ \sf : \implies 1x = \frac{468}{7} \\ \\\end{lgathered}

:⟹1x=

7

468

1x is similar to x so we don't need to transport 1

\begin{lgathered}\\ \sf : \implies \boxed{ \frak{ \pink{x = \frac{468}{7} }}} \\ \\\end{lgathered}

:⟹

x=

7

468

__________________________________________

Therefore, the value of x is 468/7.