Answer :

Answer

x/3 = 3

Step-by-step explanation

Substituting x = 1 into the second equation:

[tex]\begin{gathered} \frac{x}{1}=1 \\ \frac{1}{1}=1 \\ \text{ Simplifying} \\ 1=1 \end{gathered}[/tex]

Given that the same result is obtained at both sides of the equation, then x = 1 is a solution to the equation.

Substituting x = 1 into the third equation:

[tex]\begin{gathered} \frac{x}{4}=\frac{1}{4} \\ \frac{1}{4}=\frac{1}{4} \end{gathered}[/tex]

Given that the same result is obtained at both sides of the equation, then x = 1 is a solution to the equation.

Substituting x = 1 into the fourth equation:

[tex]\begin{gathered} \frac{x}{2}=\frac{2}{4} \\ \frac{1}{2}=\frac{2}{4}\text{ } \\ \text{ Simplifying} \\ \frac{1}{2}=\frac{1}{2} \end{gathered}[/tex]

Given that the same result is obtained at both sides of the equation, then x = 1 is a solution to the equation.

Substituting x = 1 into the first equation:

[tex]\begin{gathered} \frac{x}{3}=3 \\ \frac{1}{3}\ne3 \end{gathered}[/tex]

Given that different results are obtained at both sides of the equation, then x = 1 is not a solution to the equation.