The equation $\frac{x}{5} - \frac{y}{3} = \frac{4}{5}$ is expressed in the standard form as.... with integer coefficients.

5 x - 3 y - 4 = 0

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3 x - 5 y - 12 = 0

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3 x - 5 y - 4 = 0

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5 x - 3 y = 12

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Solution

The correct option is D $3 x - 5 y - 12 = 0$
Given equation is

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

Multiplying the equation with $15$ on both sides

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

$3 x - 5 y = 12$

$⟹ 3 x - 5 y - 12 = 0$

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Similar questions

3 x, + 5 y = 12, 5 x + 3 y = 4

The equation of the line passing through $(1, 5)$ and perpendicular to the line $3 x - 5 y + 7 = 0$ is

x^{2} + y^{2} + 3 x + 5 y + 4 = 0

x^{2} + y^{2} + 5 x + 3 y + 4 = 0

Z = 3 x + 5 y

2 x + 3 y \geq 12,

- x + y \leq 3

x \leq 4, y \geq 3, x \geq 0, y \geq 0

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