Question

−2∣5w−7∣+9=−7 how do i get the second answer

Answer 1

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

$x=3\\x=-\frac{1}{5}$

Answer 2

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