The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if
a. a=b b. 3a = 2b c. 2a = 3b d. ab = 6
Given system of equations is: ax+2y=7 and 3x+by=16.
They can be rewritten as:
ax + 2y - 7 = 0 and
3x + by - 16 = 0
We know that, for the given system of equations to have parallel lines or inconsistent solution, =≠ , i.e.,
=
⇒ ab = 6