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.

x = –1 or x = 1.5
x = 1 or x = –1.5
x = 0
There are no solutions.

Answer 1

There are no solutions.

Answer 2

There are no solutions.

Explanation:

Questions:

• Solve: 5.6= 3.1 – 12.5|1 – 0.8x|

To find:

• The value of x.

Solutions:

• 5.6= 3.1 – 12.5|1 – 0.8x|

First, do switch sides.

`\Longrightarrow:\sf3.1-12.5\left`

Multiply by 10 from both sides.

`\Longrightarrow: \sf*10=5.6*10`

Solve.

31-125|1-0.8x|=56

Subtract by 31 from both sides.

`\Longrightarrow: \sf31-125\left`

Solve.

`\Longrightarrow: \sf1-0.8x\right`

Divide by -125 from both sides.

Solve.

`\Longrightarrow: \sf{(-125\left|1-0.8x\right|)/(-125)=(25)/(-125)=\boxed{\sf{No\ solutions.}}}`

• Therefore, the correct answer is "D. There are no solutions."

I hope this helps, let me know if you have any questions.