5

Set 8: Systems of Equations

Explanation

Answer: A

Verify if (1,7)(1, 7) is the solution to: {5x+2y=193x−y=−4\begin{cases} 5x + 2y = 19 \\ 3x - y = -4 \end{cases}

A.

Yes

✓ Correct
B.

No, it satisfies neither equation

C.

No, it only satisfies the first equation

D.

No, it only satisfies the second equation

Detailed Explanation

Choice A is correct. Choice A is the correct answer. First equation: 5x+2y=195(1)+2(7)=5+14=195x + 2 y = 195(1) + 2(7) = 5 + 14 = 19 ✓ Second equation: 3x−y=−43(1)−7=3−7=−43x - y = -43(1) - 7 = 3 - 7 = -4 ✓ Since (1,7)(1, 7) satisfies both equations, it is the Choice B 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:
B: Choice B 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.
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