Question

If the system of equations 2x – 3y = 3 and – 4x + qy = p is inconsistent, which of the following cannot be the value of p? 

A) -36 

B) -18 

C) -24 

D) -6

Answer 1

Correct option is (D) -6

For inconsistent system of equations, we have

\(\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}\)

\(\Rightarrow\frac2{-4}=\frac{-3}q\neq\frac{-3}{-p}\)

\(\Rightarrow\frac3p\neq\frac{-1}2\)

\(\Rightarrow p\neq3\times-2\)

\(\Rightarrow p\neq-6\)

Hence, the value of p cannot be -6.

Answer 2

Correct option is D) -12