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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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