Question

On comparing the given linear equations, find whether they are consistent or

inconsistent? --------------

3x + 6 = 10y and 2x – 15 y + 3 = 0​

Answer 1

Answer:

consistent

Step-by-step explanation:

3x + 6 = 10y

3x - 10y + 6 = 0

where,

a1 = 3

b1 = - 10

c1 = - 6

2x - 15y + 3 = 0​

where,

a2 = 2

b2 = - 15

c2 = 3

a1 / a2 = 3 / 2

b1 / b2 = - 10 / - 15

           = 10 / 15

b1 / b2 = 2 / 3

Therefore,

( a1 / a2 ) ≠ ( b1 / b2 )

They are intersecting lines.

Intersecting lines are consistent.