The value of P for which the pair of equations 2Px + 3y = 7, 2x + y =

1.	The value of P for which the pair of equations 2Px + 3y = 7, 2x + y = 6 has exactly one solution. A) 3 B) Any real number except 3 C) Any real number D) For no real P the system has solution
Answer» Correct option is (B) Any real number except 3 For both lines has exactly one solution (unique solution), we have \(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}\) \(\Rightarrow\) \(\frac{2P}2\neq\frac31\) \(\Rightarrow\) \(P\neq3\) Hence, for any real value of P except 3, the given pair of linear equations has exactly one solution. Correct option is B) Any real number except 3

The value of P for which the pair of equations 2Px + 3y = 7, 2x + y = 6 has exactly one solution. A) 3 B) Any real number except 3 C) Any real number D) For no real P the system has solution

Answer»

Correct option is (B) Any real number except 3

For both lines has exactly one solution (unique solution), we have

\(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}\)

\(\Rightarrow\) \(\frac{2P}2\neq\frac31\)

\(\Rightarrow\) \(P\neq3\)

Hence, for any real value of P except 3, the given pair of linear equations has exactly one solution.

Correct option is B) Any real number except 3