If 3y + 2x = 47 and 11x = 7y then what is value of y - x ?
Correct Answer: Description for Correct answer:
Given 3y + 2x = 47 ...(i)
7y - 11x = 0 ....(ii)
From (ii), \( \Large x = \frac{7}{11} y \)
\( \Large \therefore \) Equation (i) reduces to
\( \Large 3y + 2 \times \frac{7}{11} y = 47 \)
=> \( \Large \frac{33y + 14y}{11} = 47 \)
=> \( \Large y = \frac{11 \times 47}{47} = 11 \)
From (ii), \( \Large x = \frac{7 \times 11}{11} = 7 \)
\( \Large \therefore \) Required difference
= y - x
= 11 - 7 = 4
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