Choice A is the correct answer. Let's isolate $x$ from the second equation since it has coefficient 1.

Step 1: Isolate $x$ in the second equation: $x = 8 - 2y$

Step 2: Substitute into the first equation: $3(8 - 2y) - 4y = 10$$24 - 6y - 4y = 10$$24 - 10y = 10$$-10y = -14$$y = 1.4$

• First: $3(6) - 4(1) = 18 - 4 = 14 \ eq 10$
• Second: $6 + 2(1) = 8$ ✓

Step 1: Isolate $x$ in the second equation: $x = 8 - 2y$

Step 2: Substitute into the first equation: $3(8 - 2y) - 4y = 14$$24 - 6y - 4y = 14$$-10y = -10$$y = 1$

Step 3: Find $x$: $x = 8 - 2(1) = 6$

Solution: $(6, 1)$

Verification: $3(6) - 4(1) = 14$ ✓ and $6 + 2(1) = 8$ ✓

💡 Strategic Tip: Isolate the variable with coefficient 1 for simpler substitution.

Choice B is incorrect because$3(4) - 4(\frac{1}{2}) = 12 - 2 = 10$...wait that works! But $4 + 2(\frac{1}{2}) = 5 \ eq 8$.

Choice C is incorrect because$2 + 2(3) = 8$ ✓, but $3(2) - 4(3) = -6 \ eq 14$.

Choice D is incorrect because$3(8) - 4(0) = 24 \ eq 14$.