Multiple choice

In the following questions, two questions I and II are given. You have to solve both the equations and give answer. I. $2x-15y=5$ II. $6x-5y=-1$

  1. If X $>$ Y
  2. If X $> =$ Y
  3. If X $<$ Y
  4. If X $= < $ Y
  5. If X$=$Y or the relationship cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solve I: 2x - 15y = 5. Solve II: 6x - 5y = -1. Multiply I by 3: 6x - 45y = 15. Subtract from II: (-5y - (-45y)) = -1 - 15, 40y = -16, y = -0.4. Substitute y into I: 2x - 15(-0.4) = 5, 2x + 6 = 5, 2x = -1, x = -0.5. Since -0.5 < -0.4, X < Y.

AI explanation

Multiply the first equation 2x - 15y = 5 by 3 to get 6x - 45y = 15. Subtract the second equation (6x - 5y = -1) from this result to eliminate x, yielding -40y = 16, which gives y = -0.4. Substitute y back into the second equation to get 6x - 5(-0.4) = -1, simplifying to 6x + 2 = -1, so x = -0.5. Since -0.5 is less than -0.4, the relationship is X < Y.

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