All categories

3 years ago

Substituition method 5x-3y+1=16 2x+5y=-6

1 answer:

3 0

5x - 3y + 1 = 16 ⇒ 10x - 6y + 2 = 16
2x + 5y + 0 = -6 ⇒ 10x + 25y + 0 = -6
 31y + 2 = 10
 -2 -2
 31y = 8
 31 31
 y = 8/31
 5x - 3(8/31) + 1 = 16
 5x - 24/31 + 1 = 16
 5x + 7/31 = 16
 -7/31 -7/31
 5x = 10 24/31
 5 5
 x = 2 24/155
 (x, y) = (2 24/155, 8/31)

You might be interested in

Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

7 0

3 years ago

Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)

Savatey [412]

For this case we must factor the following expression:

$x ^ 2-7x-10$

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

$x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -7\\c = -10$

We replace:

$x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}$

So, the roots are:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

Answer:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

6 0

3 years ago

Solve for x:5x/2=330/4

bezimeni [28]

First we have to get x by itself, so we multiply two on each side,

then we get 5x=660/4, I like to simplify here, so I would change it to 5x=165, then we divide each side by 5

x=33

:)

5 0

3 years ago

Question 1!!! PLEASE HELP

andreev551 [17]

Quickly using a calculator (or long division) reveals that 191/238=0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3

7 0

3 years ago

Need help doing this questions, all help is appreciated thanks.

vichka [17]

Answer:

The answer to your question is the third option

Step-by-step explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope = $\frac{y2 - y1}{x2 - x1}$

Process

1.- Calculate the slope of line 1

slope 1 = $\frac{6 - 2}{3 - 2}$

slope 1 = $\frac{4}{1}$

slope 1 = 4

2.- Calculate slope 2

slope 2 = $\frac{9 - 5}{1 - 0}$

slope 2 = $\frac{4}{1}$

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.

8 0

2 years ago