Question

What is the value of k in 3(k−7)+8=−4(3−k)?

Answer 1

Step-by-step explanation:

3(k−7)+8=−4(3−k)

3k-21+8=12-4k

3k-13=12-4k

3k+4k=12+13

7k=25

k=

$3 \times \frac{4}{7}$

Answer 2

The value of k is -1.

Given: The equation 3 × ( k − 7 ) + 8 = − 4 × ( 3 − k ).

To Find: The value of k.

Solution:

The equation to be solved is given as,

            3 × ( k − 7 ) + 8 = − 4 × ( 3 − k )                                           ...(1)

We shall solve this equation using the associative law, which states that,

            a × ( b + c ) = a × b + a × c                                        

Using the associative law in (1), we get;

        ⇒  3k - ( 3 × 7 ) + 8 = - ( 4 × 3 ) + 4k

        ⇒  3k - 21 + 8 = - 12 + 4k

        ⇒  3k - 13 = 4k - 12

        ⇒ 4k - 3k = - 13 + 12

        ⇒  k  =  - 1

Hence, the value of k is -1.

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