Question

#5
listen
solve the equation.
|y + 3| = 17
y = \square and \square

Explanation:

Step1: Recall absolute value definition

The absolute value equation \(|a| = b\) (where \(b\geq0\)) means \(a = b\) or \(a=-b\). So for \(|y + 3|=17\), we have two cases.

Step2: Solve Case 1: \(y + 3=17\)

Subtract 3 from both sides: \(y=17 - 3=14\).

Step3: Solve Case 2: \(y + 3=-17\)

Subtract 3 from both sides: \(y=-17 - 3=-20\).

Answer:

\(14\) and \(-20\)