Choice C is the correct answer. We need to multiply both equations to eliminate a variable. Let's eliminate $y$ by finding the LCM of 5 and 2, which is 10.

Step 1: Multiply first equation by 2 and second by 5: $4x + 10y = 48$$15x - 10y = 25$

Step 2: Add the equations: $19x = 73$$x = \frac{73}{19}$

Non-integer. - First: $2(3) + 5(\frac{18}{5}) = 6 + 18 = 24$ ✓

• Second: $3(3) - 2(\frac{18}{5}) = 9 - \frac{36}{5} = \frac{45-36}{5} = \frac{9}{5} \ eq 5$

💡 Strategic Tip: When coefficients don't match, multiply both equations to create opposite coefficients.

Choice A is incorrect because$2(2) + 5(4) = 24$ ✓, but $3(2) - 2(4) = -2 \ eq \frac{9}{5}$.

Choice B is incorrect because$2(4) + 5(3.2) = 24$ ✓, but substitution in second fails.

Choice D is incorrect because$2(5) + 5(2.8) = 24$ ✓, but substitution in second fails.