3 years ago

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Only D because if you set both equations equal to each other and solve for x, x=1. The only point where x=1 is D.
If you’re still not convinced, plug 1 back into the equations and you get y=1 for both.
Therefore, the answer is D.

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BartSMP [9]

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Step-by-step explanation:

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2 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$