Answer
Only $x=-1$ is a solution of the given equation.
Work Step by Step
Substitute each value of $x$ into the equation. If the resulting equation is true, then the number is a solution of the given equation.
$\text(a)$ Substitute $-1$ to $x$:
$\begin{align*}
3x+4&=1\\
3(-1)+4&\stackrel{?}{=}1\\
1&\stackrel{\checkmark}{=}1
\end{align*}$
Thus, $x=-1$ is a solution of the given equation.
$\text(b)$ Substitute $2$ to $x$:
$\begin{align*}
3x+4&=1\\
3(2)+4&\stackrel{?}{=}1\\
10&\not=1
\end{align*}$
Thus, $x=2$ is NOT a solution of the given equation.
