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

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

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\\(3|v-3|)/(3)=(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 \}`