Question

Equation $\frac{x}{5}-\frac{y}{3}=\frac{4}{5}$ can be expressed in the standard form as ................

• A. $3x-5y-4=0$
• B. $3x-5y-12=0$
• C. $5x-3y-4=0$
• D. $5x-3y=12$

Answer 1

Answer: (B)

$3x-5y-12=0$

$\frac{x}{5}-\frac{y}{3}=\frac{4}{5}$

$\Rightarrow \frac{3x-5y}{15}=\frac{4}{5}$

$\Rightarrow 15x-25y=60$ ....... [Multiply by $15$ on both sides]

$\Rightarrow 3x-5y=12$ ........... [Divide by $5$ on both sides]

$\Rightarrow 3x-5y-12=0$ is the standard form.