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$\frac{- 5}{7}$ = $\frac{x}{35}$ = $\frac{y}{49}$

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x = -25; y = -35

x = 25; y = 35

x = -35; y = -25

x = -35; y = -20

answer is A.

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Detailed Solution

− 5 7

\frac{- 25}{35}

\frac{- 35}{49}

The rational number obtained by multiplying its numerator and denominator with the same integer is equivalent to the original rational number.
First solving

− 5 7 = ⋯ 35

.
Take LHS and multiplying and dividing the LHS by 5.

= − 5 × 5 7 × 5 = − 25 35

Now solving

− 5 7 = ⋯ 49

.
Take LHS and multiplying and dividing the LHS by 7.

= − 5 × 7 7 × 7

= − 35 49

Therefore,

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