Question

ix) 3(b + 4) – 7= 4b + 14 without transportation method​

Answer 1

Correct question :-

3(b + 4) – 7= 4b + 14 without transposing method.

Answer :-

• The value of b is equal to -9

Given :-

• Equation - 3(b + 4) – 7= 4b + 14.

To find :-

• The value of b.

Solution :-

Solving the equation using balancing method.

The equation given to us :-

3(b + 4) – 7= 4b + 14

Removing the brackets,

3b + 12 - 7 = 4b + 14

Subtracting 7 from 12,

3b + 5 = 4b + 14

As we are doing balancing method, Let's add (-5 - 4b) on both sides :-

3b + 5 (-5 - 4b ) = 4b + 14 (-5 - 4b )

Making the equation better to solve it easily,

3b + 5 (4b - - 5 ) = 4b + 14 (4b - - 5 )

Removing the brackets,

3b + 5 - 4b - 5 = 4b + 14 - 4b - 5

Organizing the expression in group of like terms, So , We can combine them easier.

3b - 4b + 5 - 5 = 4b - 4b + 14 - 5

Simplifying, And cancelling b on right side,

-b + 0 = 9

b = -9

∴ The value of b is -9

$\rule{300}{1}$

Verification :-

3(b + 4) – 7= 4b + 14

3(-9 + 4) - 7 = 4(-9) + 14

3(-5) - 7 = 4(-9) + 14

-15 - 7 = -36 + 14

-22 = -22

Hence, Verified.

Answer 2

Correct question :-

3(b + 4) – 7= 4b + 14 without transposing method.

Answer :-

The value of b is equal to -9

Given :-

Equation - 3(b + 4) – 7= 4b + 14.

To find :-

The value of b.

Solution :-

Solving the equation using balancing method.

The equation given to us :-

3(b + 4) – 7= 4b + 14

Removing the brackets,

3b + 12 - 7 = 4b + 14

Subtracting 7 from 12,

3b + 5 = 4b + 14

As we are doing balancing method, Let's add (-5 - 4b) on both sides :-

3b + 5 (-5 - 4b ) = 4b + 14 (-5 - 4b )

Making the equation better to solve it easily,

3b + 5 (4b - - 5 ) = 4b + 14 (4b - - 5 )

Removing the brackets,

3b + 5 - 4b - 5 = 4b + 14 - 4b - 5

Organizing the expression in group of like terms, So , We can combine them easier.

3b - 4b + 5 - 5 = 4b - 4b + 14 - 5

Simplifying, And cancelling b on right side,

-b + 0 = 9

b = -9

∴ The value of b is -9

\rule{300}{1}

Verification :-

3(b + 4) – 7= 4b + 14

3(-9 + 4) - 7 = 4(-9) + 14

3(-5) - 7 = 4(-9) + 14

-15 - 7 = -36 + 14

-22 = -22

HENCE VERIFIED❣⤴️