How do you solve 7 | q | - 2 = 97|q|2=9?

2 Answers
May 4, 2017

q=+-11/7q=±117

Explanation:

7absq=9+27|q|=9+2
absq=11/7|q|=117
q=+-11/7q=±117

May 4, 2017

q=+-11/7q=±117

Explanation:

color(blue)"Isolate " |q|" on the left side"Isolate |q| on the left side

"add 2 to both sides"add 2 to both sides

7|q|cancel(-2)cancel(+2)=9+2

rArr7|q|=11

"divide both sides by 7"

(cancel(7) |q|)/cancel(7)=11/7

rArr|q|=11/7

"the value of q inside the absolute value function can be"
"positive or negative"

rArrq=+-11/7