1
algebra

Is the point (2,3)(2, 3) a solution to the system? {x+y=52xy=1\begin{cases} x + y = 5 \\ 2x - y = 1 \end{cases}

A

Yes

B

No

C

Cannot be determined

D

Only for the first equation

Correct Answer: A

Choice A is the correct answer. To ver Step 1: Check the first equation x+y=5x + y = 5: 2+3=52 + 3 = 5 ✓ (True)

Step 2: Check the second equation 2xy=12x - y = 1: 2(2)3=43=12(2) - 3 = 4 - 3 = 1 ✓ (True)

Since the point satisfies both equations, (2,3)(2, 3) is indeed a Choice D is incorrect because the point satisfies both equations, not just the first one.