Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. $I. (6x + 7y = 52) II. (14x + 4y = 35)$

  1. $\(x > y\)$
  2. $\(x \ge y\)$
  3. $\(x < y\)$
  4. $\(x \le y\)$

  5. x = y or relationship between x and y cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving the system: 6x + 7y = 52 and 14x + 4y = 35. Multiply first by 7: 42x + 49y = 364. Multiply second by 3: 42x + 12y = 105. Subtract: 37y = 259, so y = 7. Substituting: 6x + 49 = 52, so 6x = 3, x = 0.5. Since x = 0.5 and y = 7, we have x < y.

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