What is the meaning of non-zero solution For what value of p does the system of equation 2x-py=0, 3x+4y=0 - Maths - Pair of Linear Equations in Two Variables

Question

What is the meaning of non-zero solution For what value of p
does the system of equation 2x-py=0, 3x+4y=0 has non zero
solution

Pronay · Accepted Answer

Non zero solution : A solution of a set of homogeneous linear equations in which at least one of the variables has a value different from zero.

$2 x - p y = 0 3 x + 4 y = 0$

Above system of equations has non zero solution if

$\frac{2}{3} = \frac{- p}{4} \Rightarrow 8 = - 3 p \Rightarrow p = \frac{- 8}{3}$

What is the meaning of non-zero solution. For what value of p does the system of equation 2x-py=0, 3x+4y=0 has non zero solution