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3 years ago

Solve the system of equations. - 4x + 1ly = 15 x = 2y y=

Mathematics

1 answer:

mariarad [96]3 years ago

5 0

Answer:

use 3

Step-by-step explanation:

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Plz help!!<br>will give the brainliest!!

aev [14]

Answer:

x = 3

Inverse matrix:

$A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\ \frac{1}{3} & -\frac{1}{3} \end{pmatrix} \quad$

Step-by-step explanation:

Determinant: ad - bc

a = 3, b = 2, c = 3, d = -1

3 * (-1) - (2 * x) = -9

-3 - 2x = -9

-2x = -6

x = 3

For matrix

$A = \begin{pmatrix}a & b\\c & d\end{pmatrix} \quad$

the inverse is

$A^{-1} = \dfrac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}\quad$

Here we have: det = -9

a = 3, b = 2, c = 3, d = -1

Inverse matrix:

$A^{-1} = \dfrac{1}{-9}\begin{pmatrix} -1 & -2 \\ -3 & 3 \end{pmatrix}\quad$

$A^{-1} = \begin{pmatrix} \frac{-1}{-9} & \frac{-2}{-9} \\\frac{-3}{-9} & \frac{3}{-9}\end{pmatrix} \quad$

$A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\\frac{1}{3} & -\frac{1}{3}\end{pmatrix}\quad$

6 0

3 years ago

Read 2 more answers

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obta

andrew11 [14]

Answer:

920 Students

Step-by-step explanation:

Add all of the meals together

Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing

8 0

3 years ago

Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and

Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

$P_L = Vt + A$

Where t, is a real number, and $P_L$ is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

$P_L = (0,0,1) t + (-4, 0.5, 5)$

The equations for each coordinate are:

$x = -4\\y = 0.5\\z = 5 + t$

7 0

3 years ago

A spinner has 14 equal sectors with different letters for each sector, as shown below:

LuckyWell [14K]

The correct answer would be 1/14

8 0

3 years ago

Read 2 more answers

Write context for x - 0.40x =450

IRISSAK [1]

Step-by-step explanation:

0.4 can be 40%

A number decreased by 40% is 450.

What would I decrease by 40%? Probably a discounted item.

Hmm.. what item should I buy... that's $450.

Answer:

I want to buy a phone. It was on sale for 40% off and I purchased it for $450. How much money was the original phone?

8 0

4 years ago