Question

Solution of 3 |v-3| =9

Answer 1

Answer: v= 6,0

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! ☺

Answer 2

Answer:

$S=\left \{ 0\:or\:6 \right \}$

Step-by-step explanation:

Absolute value equation has one property that explains why we'll have two solutions for that equation:

$|a|=-b \Rightarrow a=-b\:and\:a=b$

$3|v-3|=9$

Dividing by three to simplify it:

$3|v-3|=9\\\frac{3|v-3|}{3}=\frac{9}{3}\Rightarrow |v-3|=3\\|v-3|=3$

Applying that property over here, the absolute value is equal to one value and its symmetrical one. Notice that when we take the bars out v-3=3 and v-3=-3.

$v-3=-3\Rightarrow v=-3+3\Rightarrow v=0\\v-3=3\Rightarrow v=3+3 \Rightarrow v=6\\S=\left \{ 0\:or\:6 \right \}$