Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0

Analyze the question: We have two equations and need to find x and y.

1. -2x - 5y = 3
2. x + 3y = 0

Concept: Use substitution or elimination. Equation 2 is simple, so we can express x in terms of y.

Solution:

From equation 2: x = -3y

Substitute into equation 1: -2(-3y) - 5y = 3 6y - 5y = 3 y = 3

Then x = -3(3) = -9

Check in both equations:

• Equation 1: -2(-9) - 5(3) = 18 - 15 = 3 ✓
• Equation 2: -9 + 3(3) = -9 + 9 = 0 ✓

So x = -9 and y = 3.

Answer: Option C (-9, 3).

Tip: When one equation has a coefficient of 1 on a variable (like x here) and a zero on the right side, make that variable the subject first. It saves time. Always verify by substituting back into both equations, since this takes only seconds and protects you from sign errors, which are the most common mistake in JAMB algebra.