Question

solve each equation.

1. \\( x + 9 = 12 \\)
2. \\( 3 = z - 11 \\)

Explanation:

For equation \( x + 9 = 12 \):

Step1: Subtract 9 from both sides

To isolate \( x \), we subtract 9 from both sides of the equation. The equation becomes \( x + 9 - 9 = 12 - 9 \).

Step2: Simplify both sides

Simplifying the left side, \( x + 0 = x \), and the right side, \( 12 - 9 = 3 \). So \( x = 3 \).

For equation \( 3 = z - 11 \):

Step1: Add 11 to both sides

To isolate \( z \), we add 11 to both sides of the equation. The equation becomes \( 3 + 11 = z - 11 + 11 \).

Step2: Simplify both sides

Simplifying the left side, \( 3 + 11 = 14 \), and the right side, \( z + 0 = z \). So \( z = 14 \).

Answer:

For \( x + 9 = 12 \), \( x = 3 \).
For \( 3 = z - 11 \), \( z = 14 \).