10

Set 8: Systems of Equations (Intermediate)

Explanation

Answer: B

Verify if (2,5)(2, 5) is the solution to: {3x+2y=16xy=3\begin{cases} 3x + 2y = 16 \\ x - y = -3 \end{cases}

A.

No, it satisfies neither equation

B.

Yes

✓ Correct
C.

No, it only satisfies the first equation

D.

No, it only satisfies the second equation

Detailed Explanation

Choice B is correct. Choice B is the correct answer. First equation: 3x+2y=163(2)+2(5)=6+10=163x + 2 y = 163(2) + 2(5) = 6 + 10 = 16 ✓ Second equation: xy=3x - y = -3 25=32- 5 = -3 ✓ Since (2,5)(2, 5) satisfies both equations, it is the Choice A is incorrect because the point satisfies both equations. Choice C is incorrect because the point satisfies both, not just the first. Choice D is incorrect because the point satisfies both, not just the second.

Key Steps:

The correct answer is Yes

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎉 Set Complete!

You've reviewed all explanations. Ready to try another set?

🎯 Keep Practicing!

Master all sections for your best SAT score