Question

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

Answer 1

Answer:

• $\leadsto \red{ \boxed{ \green{ \tt{x = \bold{13}}}}}$

Step-by-step explanation:

Given :

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

To Find :

• the value of x

Solution :

__________________________________________

By using Transporting Method

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

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

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.

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

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

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

Transport 7 to the right side of the equation

• As 7 is in division state in the left side of the equation so when 7 will transport to the right side of the equation 7 will be in multiple state

$\\ \sf : \implies6x = \frac{78}{7} \times 7$

$\\ \sf : \implies6x = 78$

Transport 6 to the right side of the equation

• As 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

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

$\\ \sf : \implies \: \boxed{\frak{ \pink{x = 13}}}$

__________________________________________

Therefore , the value of x is 13.

Answer 2

Answer:

Answer:

\leadsto \red{ \boxed{ \green{ \tt{x = \bold{13}}}}}⇝

x=13

Step-by-step explanation:

Given :

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

7

6

x−

7

1

=11

To Find :

the value of x

Solution :

__________________________________________

By using Transporting Method

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

:⟹

7

6

x−

7

1

=11

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

:⟹

7

6x

−

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{6x}{7} = 11 + \frac{1}{7} \\ \\\end{lgathered}

:⟹

7

6x

=11+

7

1

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

:⟹

7

6x

=

7

77+1

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

:⟹

7

6x

=

7

78

Transport 7 to the right side of the equation

As 7 is in division state in the left side of the equation so when 7 will transport to the right side of the equation 7 will be in multiple state

\begin{lgathered}\\ \sf : \implies6x = \frac{78}{7} \times 7 \\ \\\end{lgathered}

:⟹6x=

7

78

×7

\begin{lgathered}\\ \sf : \implies6x = 78 \\ \\\end{lgathered}

:⟹6x=78

Transport 6 to the right side of the equation

As 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 : \implies \: x = \frac{78}{6} \\ \\\end{lgathered}

:⟹x=

6

78

\begin{lgathered}\\ \sf : \implies \: \boxed{\frak{ \pink{x = 13}}}\\ \\\end{lgathered}

:⟹

x=13

__________________________________________

Therefore , the value of x is 13.