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3 years ago

−7y−4x=1 7y−2x=53 Solve the system of equations

1 answer:

3 0

-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24
y=2.21
x=53/2
x=26.5

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Please help me with the below question.

VMariaS [17]

By letting

$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

we get derivatives

$y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}$

$y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}$

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

Examine the lowest degree term $\left(x^{r-1}\right)$ , which gives rise to the indicial equation,

$5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0$

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients $c_k$ is

$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

so that with r = 4/5, the coefficients are governed by

$c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}$

c) Starting with $c_0=1$ , we find

$c_1 = -\dfrac{c_0}5 = -\dfrac15$

$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

so that the first three terms of the solution are

$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

4 0

2 years ago

When karen serves jury duty, she will receive $15 each day for the first three days she serve. After three days, she will receiv

liubo4ka [24]

Karen received $ 213 for 10 days of serving

<em><u>Solution:</u></em>

Given that When karen serves jury duty, she will receive $15 each day for the first three days she serve

To find: money received by karen if she served for 10 days

First three days = $ 15 each day

Therefore,

first day = $ 15

second day = $ 15

third day = $ 15

After three days, she will receive $24 each day she serves

4th , 5th, 6th, 7th , 8th , 9th, 10th day = $ 24 each day

If she serves for 10 days,

money received = 15 + 15 + 15 + 24 + 24 + 24 + 24 + 24 + 24 + 24

money received = 3(15) + 7(24)

money received = 45 + 168 = 213

Thus karen received $ 213 for 10 days of serving

3 0

3 years ago

Read 2 more answers

SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST! also explain pls!

m_a_m_a [10]

Answer:

68 in.

Step-by-step explanation:

The rectangle is 60in., and you can find the area of a triangle by multiplying the height and the width, then dividing it by 2. The height is four, and the width is 4, 4x4 is 16, divided by 2 is 8.

4 0

3 years ago

What’s the minimum cuts needed to cut a circle into 8 equal parts

OlgaM077 [116]

Answer:

4 cuts

Step-by-step explanation:

you first do a vertical cut

then a horizontal cut

then two diagonal cuts

6 0

2 years ago

Read 2 more answers

What is the value of x?

Orlov [11]

Answer:

x = 24.5

Step-by-step explanation:

There are two similar triangles. In similar triangles the sides are in proportion.

Let's name big triangle as triangle 1 and small triangle as triangle 2.

The sides of the big triangle:

27 as base and the longest side (x + 7)

The sides of the small triangle:

base = 27 - 6 = 21

longest side = x

We need to find the value of x using proportion.

27/21 = (x + 7)/ x

By cross multiplying, we get

27(x) = 21(x + 7)

27x = 21x + 147

27x - 21x = 147

6x = 147

Dividing both sides by 6, we get

x = 147/6

x = 24.5

The value of x = 24.5

Hope you will understand the concept.

Thank you.

5 0

3 years ago

−7y−4x=1 ​7y−2x=53 Solve the system of equations​​

−7y−4x=1 7y−2x=53 Solve the system of equations