Math, asked by jayesh5514, 3 months ago

(a) What is the value of p, if the equations given
below are consistent and x is not equal to 0 is not equal to y?
5x + 4y = 32
2py + 15x = 96
(A) 5
(B) 6 (C) 4
(D) 3​

Answers

Answered by meena10111986
0

Answer:

sorry I don't know the answer sorry from my side

Answered by ranjana1999rakshit
0

Answer:

(B) 6

Step-by-step explanation:

Clearly the equations can be written as az=b (matrix form)

where

a =  \binom{5 \:  \:  \: 4}{15 \:  \:  \: 2p}   \\ z =  \binom{x}{y}  \\ and \: b =  \binom{32}{96}

Now the system is consistent if determinant of a is equal to zero, that is

 |  \binom{5 \:  \:  \: 4}{15 \:  \:  \: 2p} | = 0

so \: 10p - 60 = 0 \\ that \: is \ \:  \:  \: : 10p = 60 \\ so \:  \:  \:  \: p = 6

So the answer is p=6

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