Question

use addition and subtraction equations to solve problems math on the spot for problems 1–3, solve each equation. check your answer. 1. $s - 5 = 12$ ____ 2. $35 = y - 6$ __ 3. $x - 22 = 44$ ____

Explanation:

Problem 1: \( s - 5 = 12 \)

Step 1: Add 5 to both sides

To solve for \( s \), we add 5 to both sides of the equation to isolate \( s \).
\( s - 5 + 5 = 12 + 5 \)

Step 2: Simplify both sides

Simplifying the left side, \( -5 + 5 = 0 \), so we have \( s = 12 + 5 \). Simplifying the right side, \( 12 + 5 = 17 \).

Step 1: Add 6 to both sides

To solve for \( y \), we add 6 to both sides of the equation to isolate \( y \).
\( 35 + 6 = y - 6 + 6 \)

Step 2: Simplify both sides

Simplifying the left side, \( 35 + 6 = 41 \). Simplifying the right side, \( -6 + 6 = 0 \), so we have \( y = 41 \).

Step 1: Add 22 to both sides

To solve for \( x \), we add 22 to both sides of the equation to isolate \( x \).
\( x - 22 + 22 = 44 + 22 \)

Step 2: Simplify both sides

Simplifying the left side, \( -22 + 22 = 0 \), so we have \( x = 44 + 22 \). Simplifying the right side, \( 44 + 22 = 66 \).

Answer:

\( s = 17 \)

Problem 2: \( 35 = y - 6 \)