Question

Equation of a line coincident with 2.5x − 2y = 3 is ______.

Options

• 5x − 4y = 3

• 5x − 4y + 6 = 0

• 15x − 12y − 3 = 0

• 5x − 4y − 6 = 0

Answer 1

5x − 4y − 6 = 0

Explanation:

Two lines are coincident if the ratio of their coefficients is equal, satisfying the condition `(a1)/(a2) = (b1)/(b2) = (c1)/(c2)`. Multiplying the given equation 2.5x − 2y = 3 by 2 gives 5x − 4y = 6. which is the same as 5x − 4y − 6 = 0