Question

Frieda writes the expression below. 1.6(x-4) Frieda states that the value of her expression is -8. Determine the value of x that makes Frieda's statement true and explain your reasoning.

Answer 1

Answer : The value of 'x' that makes Frieda's statement true is, -1

Explanation :

The given expression is:

`1.6(x-4)`

Frieda states that the value of her expression is -8. That means,

`1.6(x-4)=-8`

By solving the expression, we get the value of 'x'.

`1.6x-6.4=-8`

`1.6x=-8+6.4`

`1.6x=-1.6`

`x=(-1.6)/(1.6)`

`x=-1`

Thus, the value of 'x' that makes Frieda's statement true is, -1