Question

solve for r.
4r + s = 2t - r
r = \frac{2t - ?}{\square}

Explanation:

Step1: Add \( r \) to both sides

To get all terms with \( r \) on one side, we add \( r \) to both sides of the equation \( 4r + s = 2t - r \). This gives \( 4r + r + s = 2t - r + r \), which simplifies to \( 5r + s = 2t \).

Step2: Subtract \( s \) from both sides

Next, we subtract \( s \) from both sides to isolate the terms with \( r \). So, \( 5r + s - s = 2t - s \), which simplifies to \( 5r = 2t - s \).

Step3: Divide both sides by 5

To solve for \( r \), we divide both sides of the equation \( 5r = 2t - s \) by 5. This gives \( r = \frac{2t - s}{5} \).

Answer:

The numerator's missing term is \( s \) and the denominator is \( 5 \), so \( r = \frac{2t - s}{5} \) (the boxed numerator term is \( s \) and the denominator is \( 5 \)).