For x = -5, in which quadrant does the point obtained from the equation 3x - 2y = 5 lie?

Correct answer: c 3rd

For x = -5: 3 × (-5) - 2y = 5, so -15 - 2y = 5 and y = -10. The point (-5, -10) has both x and y negative, so it is in the 3rd quadrant.

Why the other options are wrong

• a 1st: The point is (-5, -10). x is negative, so it cannot be the 1st quadrant, where x and y are both positive.
• b 2nd: y is positive in the 2nd quadrant. Here y = -10 is negative, so (-5, -10) is not there.
• d 4th: x is positive in the 4th quadrant. Here x = -5 is negative, so the point is not there.