Question

The equation having $-3$as a solution is:

• A. $x+3=1$
• B. $8+2x=3$
• C. $10+3x=1$
• D. $2x+1=3$

Answer 1

The correct option is C

$10+3x=1$

Step 1: Explanation for correct answer.

Consider the equation (c)

$$\begin{gathered} 10+3x=1 \\ 3x=1–10 \\ 3x=-9 \\ x=\frac{-9}{3} \\ x=-3 \end{gathered}$$

Step 2: Explanation for incorrect answer.

Consider the equation (a)

$$\begin{gathered} x+3=1 \\ x=1–3 \\ x=-2 \end{gathered}$$

Consider the equation (b)

$$\begin{gathered} 8+2x=3 \\ 2x=-3-8 \\ 2x=-11 \\ \therefore x=\frac{-11}{2} \end{gathered}$$

Consider the equation (d)

$$\begin{gathered} 2x+1=3 \\ 2x=3–1 \\ 2x=2 \\ x=\frac{2}{2} \\ x=1 \end{gathered}$$

Hence, the correct option is C.