Question

Determine the value of k for which the following pair of linear equations is consistent (dependent) :

2x – 3y = 5; 2px – (2p + 3)y = 5p​

Answer 1

Answer:

As pair of equations are coincident

2/2p = -3/(-2p+3) = 5/5p

1/p = 3/2p+3

2p+3 = 3p

p = 3

k = 3

The value of p is k = 3

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Answer 2

Step-by-step explanation:

2x-3y=5

2px-(2p+3)y=5p

a1=2

a2=2p

b1=3

b2=2p+3

c1=5

c2=5p

a1/a2=b1/b2=c1/c2

2/2p=3/2p+3=5/5p

4p+6=6p

6=6p-4p

p=3