Question

The equation has $5$ as a solution is:

• A. $4x+1=2$
• B. $3–x=8$
• C. $x–5=3$
• D. $3+x=8$

Answer 1

The correct option is D

$3+x=8$

Step 1: Explanation for correct option.

Consider the equation (D)

$$\begin{gathered} 3+x=8 \\ x=8–3 \\ x=5 \end{gathered}$$

Therefore, (D) is the correct option.

Step 2: Explanation for incorrect option.

Consider the equation (A)

$$\begin{gathered} 4x+1=2 \\ 4x=2–1 \\ 4x=1 \\ x=\frac{1}{4} \end{gathered}$$

Consider the equation (B)

$$\begin{gathered} 3–x=8 \\ -x=8–3 \\ -x=5 \\ \therefore x=-5 \end{gathered}$$

Consider the equation (C)

$$\begin{gathered} x–5=3 \\ x=3+5 \\ x=8 \end{gathered}$$

Therefore, (A), (B), and (C) are incorrect options.

Hence the correct option is D.