Question

For what, value of p, will the following system
equations have a unique solution?
Px +2y=5,
8x +y =15
​

Answer 1

16 is the answer its value is of p

Answer 2

Answer:

Value of P is any real value other than 16 or R - {16}

Step-by-step explanation:

Given: System of equations,  Px + 2y = 5  and 8x + y = 15

          System of equation has unique Solution

To find: Value of P

Ratio of coefficient of system of equations for unique solution is given by,

$\frac{a_1}{a_2}\neq\frac{b_1}{b_2}$

From given system of equation,

$a_1=P\:,\:b_1=2\;\:and\:\:a_2=8\:,\:b_2=1$

We get,

$\frac{P}{8}\neq\frac{2}{1}$

$P\neq2\times8$

P ≠ 16

⇒ P can have any value other than 16 or R - {16}

Therefore, Value of P is any real value other than 16 or R - {16}