Question

with explanation
fast​

Answer 1

Given that:-

• x and y vary directly

To Find:-

• The missing digits

Solution:-

1st Blank:-

$\sf : \implies \large \frac{x}{y} = \frac{3}{9}$

$\sf : \implies \large \frac{x}{y} = \frac{x_2}{y_2}$

$\sf : \implies \large \frac{3}{9} = \frac{x_2}{21} \footnotesize (cross \: multiplication)$

$\sf : \implies \large 9x_2 = 3 \times 21$

$\sf : \implies \large x_2 = \frac {3 \times 21}{9}$

$\sf : \implies \large x_2 = \cancel\frac {3 \times 21}{9}$

$\sf : \implies \large x_2 = 7$

2nd Blank:-

$\sf : \implies \large \frac{x}{y} = \frac{x_3}{y_3}$

$\sf : \implies \large \frac{3}{9} = \frac{x_3}{y_3}$

$\sf : \implies \large \frac{3}{9} = \frac{21}{y_3}\footnotesize(cross multiplication)$

$\sf : \implies \large 3y_3 = 21 \times 9$

$\sf : \implies \large y_3 = \frac{ 21 \times 9}{3}$

$\sf : \implies \large y_3 = \cancel\frac{ 21 \times 9}{3}$

$\sf : \implies \large y_3 = 7$

Refer to the attachment for the table

Hope it helps uh :D

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