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Verified Answer :

taskmasters

To calculate the answers for an expression with an absolute value term. First, we isolate the one with the absolute value. 

−2∣5w−7∣+9=−7
−2∣5w−7∣=−7-9 = -16
∣5w−7∣=8

Then, set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

5w=8+7
5w = 8-7

The answers are:

w = 3
w = 1/5

calculista

we have

  \(-2\left|5x-7\right|+9=-7\)

Isolate the absolute value

\(-2\left|5x-7\right|+9=-7\\-2\left|5x-7\right|=-7-9\\ \left|5x-7\right|=8\)

First solution

when

\(+(5x-7)=8\\5x=8+7\\5x=15\\x=3\)

Second solution

when

\(-(5x-7)=8\\-5x+7=8\\-5x=8-7\\ -5x=1\\x=-1/5\)

therefore

the answer is

the solutions are

\(x=3\\x=-\frac{1}{5}\)

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