Question

2. The equations 3x + 4y + 8 = 0 and ax + by + C = 0 have the maximum number of sol
common. What could be the values of a, b and c, respectively?
a) 6,8,16
b) 6.-8, 16
c) -6, 8, -16
d) -6, -8,16

Answer 1

Answer:

a) 6, 8, 16

Step-by-step explanation:

The maximum number of solutions for any two equations is infinity.

Two equations have infinite number of solutions when they are coincident.

The lines are coincident when the ratio of their coefficients are equal.

3 / a = 4 / b = 8 / c

When you substitute the options, we can see that option a satisfies the condition to be coincident, therefore that is the answer.