Choice B is the correct answer. Isolate $x$ from the first equation.

Step 1: From $x + 4y = 22$: $x = 22 - 4y$

Step 2: Substitute into the second equation: $3(22 - 4y) - 2y = 10$$66 - 12y - 2y = 10$$66 - 14y = 10$$-14y = -56$$y = 4$

Step 3: Find $x$: $x = 22 - 4(4) = 22 - 16 = 6$

Solution: $(6, 4)$

Verification: $3(6) - 2(4) = 18 - 8 = 10$ ✓

💡 Strategic Tip: Isolating $x$ was easier here since its coefficient is 1 in the first equation.

Choice A is incorrect because$3(8) - 2(3.5) = 24 - 7 = 17 \ eq 10$.

Choice C is incorrect because$3(5) - 2(4.25) = 15 - 8.5 = 6.5 \ eq 10$.

Choice D is incorrect because$3(7) - 2(3.75) = 21 - 7.5 = 13.5 \ eq 10$.