Question

Mark the statement as true or false.

The solution of 3(k - 1) = 2(2 + k) is k = 7.​

Answer 1

Answer :-

• The statement is true.

• The solution of 3 (k - 1) = 2 (2 + k) is 7.

To find :-

• Whether the statement is true or false :-

$\hookrightarrow$ The solution of 3 (k - 1) = 2 (2 + k) = 7.

Step-by-step explanation :-

• To find whether the given statement is true or false, we have to solve the equation first!

$\leadsto\sf3 \: (k - 1) = 2 \: (2 + k)$

Removing the brackets,

$\leadsto\sf3k - 3 = 4 + 2k$

Putting the constant and variable terms on different sides by the method of transposition,

$\leadsto\sf3k - 2k = 4 + 3$

On simplifying,

$\leadsto\sf k = 7$

• The value of k is 7.

Hence, the given statement is true!

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V E R I F I C A T I O N :-

To check our answer, let's put 7 in the place of k and see whether LHS = RHS.

LHS

$\leadsto\rm 3 (k - 1)$

Substituting the value of k,

$\leadsto\rm 3 (7 - 1)$

Removing the brackets,

$\leadsto\rm 21 - 3$

Subtracting 3 from 21,

$\leadsto\rm 18$

RHS

$\leadsto\rm 2 (2 + k)$

Substituting the value of k,

$\leadsto\rm 2 (2 + 7)$

Removing the brackets,

$\leadsto\rm 4 + 14$

Adding 14 to 4,

$\leadsto\rm 18$

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LHS = RHS.

Hence verified!

Answer 2

Statement is true

finding k

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