Choice A is the correct answer. We'll eliminate $y$ by multiplying the first equation by 2 and the second by 5.

Step 1: Multiply the equations: $4x - 10y = -8$$15x + 10y = 85$

Step 2: Add the equations: $19x = 77$$x = \frac{77}{19}$

Non-integer. - First: $2(3) - 5(2) = 6 - 10 = -4$ ✓

• Second: $3(3) + 2(2) = 9 + 4 = 13 \ eq 17$

Step 1: Multiply equations: $4x - 10y = -8$$15x + 10y = 65$

Step 2: Add: $19x = 57$$x = 3$

Step 3: Substitute: $2(3) - 5y = -4$$6 - 5y = -4$$-5y = -10$$y = 2$

** 💡 Strategic Tip: When neither coefficient is 1, multiply both equations to create opposite coefficients.

Choice B is incorrect because$2(5) - 5(\frac{14}{5}) = 10 - 14 = -4$ ✓, but $3(5) + 2(\frac{14}{5}) = 15 + 5.6 \ e 13$.

Choice C is incorrect because$2(4) - 5(\frac{12}{5}) = 8 - 12 = -4$ ✓, but second equation fails.

Choice D is incorrect because$2(2) - 5(\frac{8}{5}) = 4 - 8 = -4$ ✓, but second equation fails.