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2 years ago

Help me plzzzzzzzzzz I give u BRAINLY

Mathematics

2 answers:

weqwewe [10]2 years ago

6 0

The answer is

X= 3 and Y= -4

ruslelena [56]2 years ago

3 0

Answer:

If you are solving for substitution then the anwser is x+3, and y = -4 (3, -4)

Step-by-step explanation:

First you solve for x

x-2y=11 to x = 11 + 2y

Then you plug it in to the first equation.

-7 (11 + 2y)- 2 = -13 Then Simplify. -77 - 16y= -13

Solve for Y.

Add 77 to both sides. -16y= 64

Divide both sides by -16

y= -4

The Solve for X

x=11 + 2 x -4

X=3

Therefore the anwser is (3, -4)

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Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

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$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

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The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

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Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

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