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If the two expressions are equivalent, find value of x

If The Two Expressions Are Equivalent Find Value Of X class=

Sagot :

[tex]\frac{5}{x}-\frac{1}{3}=\frac{1}{x}[/tex]

1. Subtract 1/x in both sides of the equation:

[tex]\begin{gathered} \frac{5}{x}-\frac{1}{x}-\frac{1}{3}=\frac{1}{x}-\frac{1}{x} \\ \\ \frac{4}{x}-\frac{1}{3}=0 \end{gathered}[/tex]

2. Add 1/3 in both sides of the equation:

[tex]\begin{gathered} \frac{4}{x}-\frac{1}{3}+\frac{1}{3}=0+\frac{1}{3} \\ \\ \frac{4}{x}=\frac{1}{3} \end{gathered}[/tex]

3. Multiply both sides of the equation by x:

[tex]\begin{gathered} x\cdot\frac{4}{x}=x\cdot\frac{1}{3} \\ \\ 4=\frac{x}{3} \end{gathered}[/tex]

4. Multiply both sides of the equation by 3:

[tex]\begin{gathered} 4\cdot3=\frac{x}{3}\cdot3 \\ \\ 12=x \\ \\ \text{ Rewrite} \\ x=12 \end{gathered}[/tex]Then, the value of x is 12
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