Question

Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|

Answer 1

Answer:

There are no solutions.

Step-by-step 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.

$\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}$

Multiply by 10 from both sides.

$\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}$

Solve.

31-125|1-0.8x|=56

Subtract by 31 from both sides.

$\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}$

Solve.

$\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}$

Divide by -125 from both sides.

Solve.

$\Longrightarrow: \sf{\dfrac{-125\left|1-0.8x\right|}{-125}=\dfrac{25}{-125}=\boxed{\sf{No\ solutions.}}}$

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

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