6

Set 16: Systems of Equations

Explanation

Answer: B

Verify if (2,6)(2, 6) is the solution to: {3x+y=122x−y=−2\begin{cases} 3x + y = 12 \\ 2x - y = -2 \end{cases}

A.

No, it only satisfies the second equation

B.

Yes

✓ Correct
C.

No, it satisfies neither equation

D.

No, it only satisfies the first equation

Detailed Explanation

Choice B is correct. Choice B is the correct answer. First equation: 3x+y=123(2)+6=6+6=123x + y = 123(2) + 6 = 6 + 6 = 12 ✓ Second equation: 2x−y=−22(2)−6=4−6=−22x - y = -22(2) - 6 = 4 - 6 = -2 ✓ Since (2,6)(2, 6) satisfies both equations, it is the Choice A is incorrect because it satisfies both. Choice C is incorrect because it satisfies both. Choice D is incorrect because it satisfies both.

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.
← PreviousNext →

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→