Question

for what value of k the pair of equations 3x+4y+2=0 and 9x+12y+k=0 has many solution​

Answer 1

Answer:

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Step-by-step explanation:

$For \: Many \: solutions$

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

$here , \: a1 = 3 \: , \: a2 = 9$

$b1 = 4 \: , \: b2 = 12$

$c1 = 2 \: , \: c2 = k$

$=> \frac{3}{9} = \frac{4}{12} = \frac{2}{k}$

$= \frac{1}{3} = \frac{1}{3} = \frac{2}{k}$

$= \frac{1}{3} = \frac{2}{k}$

$now \: , \: cross - multiplying , \: we \: get$

$= k = 2×3 = 6$

$you \: can \: verify \: this \: also ,$

$= \frac{1}{3} = \frac{1}{3} = \frac{2}{6}$

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

$please \: like \: my \: answer \\ \&\\ mark \: me \: brainliest \: please \: :)))$

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