Question

If one equation of a pair of dependent linear equations is 5x – 7y + 2 = 0, then the second equation is given by ______.

Answer 1

If one equation of a pair of dependent linear equations is 5x – 7y + 2 = 0, then the second equation is given by 5kx – 7ky + 2k = 0, where k is any non-zero number.

Explanation:

For dependent linear equations the two equations are proportional all coefficients, including the constant term, are in the same ratio, so the second must be a scalar multiple of 5x – 7y + 2 = 0.