ryanlopardi1
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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.

Respuesta :

charliethebest2002

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.

[tex]\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}[/tex]

Multiply by 10 from both sides.

[tex]\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}[/tex]

Solve.

31-125|1-0.8x|=56

Subtract by 31 from both sides.

[tex]\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}[/tex]

Solve.

[tex]\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}[/tex]

Divide by -125 from both sides.

Solve.

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

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

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

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