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Vaselesa [24]
3 years ago
11

3x-2y=-1. Y=-x+3. Is (1,2) a solution do the system?

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

3x-2y=-1

3(1)-2(2)=-1

3-4=-1

-1=-1

It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

Stells [14]3 years ago
3 0
Yesterday I wanna play this is a great way of to get it to be a good day for me mày nhe was the way I wanna was
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The equation was in point slope from, so you had to solve for y using inverse operations. The slope of x is -1 because -x = -1x.


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If you know that \sin\dfrac\pi3=\dfrac12, then you know right away

\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3

###

Otherwise, you can derive the same result. Let \theta=\sin^{-1}\dfrac12, so that \sin\theta=\dfrac12. \sin^{-1} is bounded, so we know -\dfrac\pi2\le\theta\le\dfrac\pi2. For these values of \theta, we always have \cos\theta\ge0.

So, recalling the Pythagorean theorem, we find

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2

Then

\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3

as expected.

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Answer:

If, a = 2 and b = 3

<h3>Jada</h3><h3>10a + 1b = 7a + 5b  - 3a + 4b \\ 10(2) + 1(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 20 + 3 = 14 + 15 - 6 + 12 \\ 23 = 35 \\</h3>

It's not equivalent.

<h3>Diego</h3><h3>4a + 9b = 7a + 5b - 3a + 4b \\ 4(2) + 9(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 8 + 27 = 14 + 15 - 6 + 12 \\ 35 = 35 \\</h3>

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The correct equation is 4a + 9b.

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