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vodka [1.7K]
3 years ago
8

Please helpp! I will mark Brainliest!

Mathematics
2 answers:
Whitepunk [10]3 years ago
8 0

Answer:

x=7

y=2

Step-by-step explanation:

x-3y=1  ...(1)

3x-5y=11  ...(2)

subtract first from second eq.

3x-5y-(x-3y)=11-1

3x-5y-x+3y=10

2x-2y=10

x-y=5  ...(3)

(3)-(1) gives

2y=4

y=4/2=2

from (3)

x-2=5

x=5+2=7

leva [86]3 years ago
7 0

Do you mind typing the equation it looks incomplete.

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If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

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y² - y - 6 = 0

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Thus, y = -2 and 3.

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At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

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3 years ago
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Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.

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Naddik [55]
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