Question

If −2(5. 5x − 6. 3) is equivalent to mx + 12. 6, what is the value of m?

Answer 1

For the given expression −2(5. 5 x − 6. 3) = m x + 12. 6 , m = - 11.

Explanation:

Here, the given expression is:

−2(5. 5 x − 6. 3) = m x + 12. 6

Using DISTRIBUTIVE PROPERTY: A (B- C) = AB - AC

Simplifying it further, we get:

-2( 5.5 x) + 2( 6.3) = m x + 12 . 6

or, - 11 x + 12. 6 = m x + 12 . 6

or, - 11 x = m x

Now, dividing both sides by x, we get:

`((-11x)/(x))   =  ((mx)/(x))`

or, m = - 11

Hence, for the given expression −2(5. 5 x − 6. 3) = m x + 12. 6 , m = - 11.