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In the following questions two equations are given. You have to solve the equations and Give answer
I. 2x + 3y = 4
II. 3x + 2y = 11
A) x < y
B) x \( \Large \leq \) y
C) x = y
D) x > y
Correct answer:
D) x > y
Description for Correct answer:
I. 2x + 3y = 4
II. 3x + 2y = 11
Multiplying equation I by 3 and equation II by 2 and subtracting equation II from equation I
\( \Large 6x + 9y = 22 \) -- (1)
\( \Large 6x + 4y = 22 \) -- (2)
(1) - (2)
=> 5y = -10
\( \Large \therefore \) y = -2
Putting the value of y = -2 in equation I,
2x + 3 \( \Large \times \) -2 = 4
=> 2x = 6 + 4
=> x = \( \Large \frac{10}{2} \) = 5
Clearly, x > y
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