Question

the pair equation 3x+2y=7and 3x+by=16 represent parallel lines,find the condition​

Answer 1

Answer:

for parallel lines,  a1/a2 = b1/b2 ≠ c1/c2

so, 3/3 = 2/b

1 = 2/b

b = 2

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Answer 2

$3x + 2y = 7 \\ \\ comparing \: \: \: with \\ \\ a1x + b1y = c1 \\ \\ a1 = 3 \: \: \: b1 = 2 \: \: \: c1 = 7 \\ \\ 3x + by = 16 \\ \\ c.w \\ \\ a2x + b2y = c2 \\ \\ a2 = 3 \: \: \: \: b2 = b \: \: \: \: c2 = 16 \\ \\ since \: \: \: lines \: \: are \: \: parallel \\ \\ therefore \\ \\ \frac{a1}{a2} = \frac{b1}{b2} \\ \\ \frac{3}{3} = \frac{2}{b} \\ \\ 1 = \frac{2}{b} \\ \\ b = 2$