If 2x + 3y = 34 and \( \Large \frac{x + y}{y} = \frac{13}{8} \), then 5y + 7x = ?


A) 82

B) 175

C) 178

D) None of these

Correct Answer:
D) None of these

Description for Correct answer:
\( \Large \frac{x + y}{y} = \frac{13}{8} \)

8x + 8y = 13y

8x - 5y = 0 ...(i)

Also, 2x + 3y = 34

Multiplying this equation by 4 we can write,

8x + 12y = 136 ...(ii)

Subtracting (i) from (ii) we get,

17y = 136

y = 8

Substituting this value in

2x + 3y = 34 we get,

\( \Large 2x + (3 \times 8) = 34 \)

=> 2x = 10

=> x = 5

\( \Large \therefore 5y + 7x = 5 \times 8 + 7 \times 5 \)

= 40 + 35 = 75

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