Question

What are the solutions to the equation |y – 3| = 2? 1. Rewrite for two solutions: (y–3) = 2, –(y–3) = 2 2. Solve the first equation: y = 5 3. Solve the second equation: –y + 3 = 2 The solutions to the equation |y − 3|= 2 are and .

Answer 1

5 and 1

Explanation:

if y = 5

|y − 3| = 2

|5 − 3|= |2| = 2

if y - 1

|y − 3| = 2

|1 − 3| = |2| = 2

Answer 2

y = 5 or y = 1

Explanation:

|y - 3| = 2

y - 3 = 2 or y - 3 = -2

y = 5 or y = 1