All categories

3 years ago

Solve the system of linear equations separate the X and Y with, -13 X equals -96 Minus 7Y

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

The separated values of x and y is $x=\frac{96+7y}{13}$ and $y=\frac{13x-96}{7}$

Step-by-step explanation:

Given

The given linear equation can be written as

$-13x=-96-7y\hfill (1)$

Now multiply the above equation (1) in to (-) on both sides we get

$-13x=96+7y\hfill (2)$

Now we separate the values of x and y in the above equation

$13x=96+7y$

$x=\frac{96+7y}{13}$

You might be interested in

Help solve -4 + n/2 = -12

Nat2105 [25]

Answer:

n=-16

Step-by-step explanation:

Add 4 on each side:

n/2 = -12+4

n/2 = -8

Multiply 2 on each side:

n=-16

6 0

3 years ago

Which equation represents a line which is parallel to the line x-3y=15?

LekaFEV [45]

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make $x - 3y = 15$ in to slope-intercept form it'll be like this:

$x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5$

Now we know $y = \frac{1}{3}x - 5\\$ as its slope-intercept form we can see the slope is $\frac{1} {3}\\$ .

$y = \frac{1}{3}x + 4\\$ has the same slope as $y = \frac{1}{3}x - 5\\$ so they are both parallel.

<h3>Answer:</h3>

$y = \frac{1}{3}x + 4\\$

6 0

3 years ago

Help plz im so dumb math

vesna_86 [32]

Answer:

the first one

Step-by-step explanation:

its right because you have to try and solve it out to get the answer so u subtract 4 the divide by 10 to get r= 8

4 0

4 years ago

Read 2 more answers

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2