Choice B is the correct answer. I'll use elimination by multiplying the second equation by 5.

Step 1: Multiply the second equation by 5: $10x - 5y = 25$

Step 2: Add to the first equation: $(3x + 5y) + (10x - 5y) = 31 + 25$$13x = 56$$x = \frac{56}{13}$

Non-integer. - First: $3(4) + 5(\frac{19}{5}) = 12 + 19 = 31$ ✓

• Second: $2(4) - \frac{19}{5} = 8 - 3.8 = 4.2 \ eq 5$

** 💡 Strategic Tip: Fractional answers are common—don't assume answers must be integers.

**Choice A is incorrect—calculation error.

**Choice C is incorrect—calculation error.

**Choice D is incorrect—calculation error.