Question

find the value of k step by step
note, the equations have infinitely many solutions​

Answer 1

Answer:

for infinite solutions, A1/a2=b1/b2= c1/c2

so, 2/6=3/k= -5/-15

now, 1/3=3/k=1/3

thus, k=9

as 3/9=1/3

hope this helps

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Answer 2

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$2x + 3y = 5................(i)$

$a = 2 \: b = 3 \: c = - 5$

$6x + ky - 15 = 0.............(ii)$

$a = 6 \: b = k \: c = - 15$

$\frac{a1}{a2} = \frac{2}{6}$

$\frac{b1}{b2} = \frac{3}{k}$

$\frac{c1}{c2} = \frac{ - 5}{ - 15}$

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

$= > \frac{2}{6} = \frac{3}{k} = \frac{ - 5}{ - 15}$

$= > \frac{1}{3} = \frac{3}{k}$

$= > k = 3 \times 3$

$= > k = 9$