Choice C is the correct answer. Multiply first equation by 2 and second by 3 to eliminate $y$.

Step 1: Multiply the equations: $8x + 6y = 52$$15x - 6y = 39$

Step 2: Add the equations: $23x = 91$$x = \frac{91}{23}$

Non-integer, so - First: $4(5) + 3(2) = 20 + 6 = 26$ ✓

• Second: $5(5) - 2(2) = 25 - 4 = 21 \ eq 13$

💡 Strategic Tip: Find LCM of y-coefficients (3 and 2) which is 6.

**Choice A is incorrect.

**Choice B is incorrect.

Choice D is incorrect because$4(2) + 3(6) = 26$ ✓, but $5(2) - 2(6) = -2 \ eq 21$.