Set 9: Systems of Equations

Choice B is correct. Choice B is the correct answer. To verify if $(5, 4)$ is a solution, we substitute $x = 5$ and $y = 4$ into both equations. First equation: $x + 3 y = 17$ $5+ 3(4) = 5 + 12 = 17$ ✓ (True) Second equation: $2x - y = 62(5) - 4 = 10 - 4 = 6$ ✓ (True) Since the point satisfies both equations, it is a solution to the system. Strategic Tip: A solution must work for every equation in the system simultaneously. Choice A is incorrect because we can always determine if a point is a solution through substitution. Choice C is incorrect because the point does satisfy both equations. Choice D is incorrect because the point satisfies both equations, not just the first.