Question

Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|

5.6 = 3.1 – 12.5|1 – 0.8x|
2.5 = –12.5|1 – 0.8x|
–0.2 = |1 – 0.8x|

Finish the steps shown to find the possible value(s) for x that make the statement true.
A. x = –1 or x = 1.5

B. x = 1 or x = –1.5

C. x = 0

D. There are no solutions.

Answer 1

the answer is there are no solutions because i just had that question and put it AND IT WAS RIGHT..

Answer 2

Option: D is the correct answer.

D. There are no solutions.

Explanation:

Since, in the given steps for solving the given linear expression the last step or expression that is obtained is given by:

`-0.2=|1-0.8x|`

Now as we know that the modulus of any number can't be negative.

But in the given expression we have that the modulus of a expression is negative (i.e. -0.2)

Hence, such a system has no solution.

Hence, option: D is correct.