Find the value of ' $a$ ' for which the pair of linear equations $2 x + 3 y = 7$ and $4 x + a y = 14$ has infinitely many solutions .

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Solution

$2 x + 3 y - 7 = 0$

$4 x + a y - 14 = 0$

for infinite solution

$\frac{2}{4} = \frac{3}{a} = \frac{7}{14}$

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

$a = 6$

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Find the value of 'a' for which the pair of linear equations 2x+3y=7 and 4x+ay=14 has infinitely many solutions .

2x+3y−7=04x+ay−14=0for infinite solution24=3a=71412=3aa=6

Find the value of ' $a$ ' for which the pair of linear equations $2 x + 3 y = 7$ and $4 x + a y = 14$ has infinitely many solutions .

$2 x + 3 y - 7 = 0$

$4 x + a y - 14 = 0$

for infinite solution

$\frac{2}{4} = \frac{3}{a} = \frac{7}{14}$

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

$a = 6$