Question

solve for y and graph the solution.
5 = |y - 65|
click to select points on the number line.

Explanation:

Step1: Recall absolute value definition

The equation \(|x| = a\) (where \(a\geq0\)) has solutions \(x = a\) or \(x=-a\). For \(5 = |y - 65|\), we apply this.
So we have two cases:
Case 1: \(y - 65=5\)

Step2: Solve Case 1

Add 65 to both sides: \(y=5 + 65=70\)
Case 2: \(y - 65=-5\)

Step3: Solve Case 2

Add 65 to both sides: \(y=-5 + 65 = 60\)

Answer:

The solutions for \(y\) are \(y = 60\) and \(y=70\). To graph, mark the points 60 and 70 on the number line.