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3 years ago

-5x+2y=6 -x+2y=-2 what is the solution to the system of equations?

Mathematics

1 answer:

dybincka [34]3 years ago

7 0

Step-by-step explanation:

$- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ \frac{ - 4x}{ - 4} = \frac{8}{ - 4 } \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 \times - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ \frac{2y}{2} = \frac{ - 4}{2} \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 \times - 2 = - 2 \\ 2 + 2 \times - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.$

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On an airplane there are two seats on the left side in each row and three seats on the right side. There are 150 seats altogethe

netineya [11]

In order to solve these you first need a ratio.
From what we can tell, the ration from LEFT to RIGHT is:
2:3
Therefore, in order to have a 2:3 ratio, we need 5 parts total (2 parts on left + 3 parts on right = 5 total parts!)

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3 years ago

Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in y

Taya2010 [7]

<h3>y + 9 = 10(x - 6) is the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1)</h3>

Solution:

Given points are:

(6, -9) and (7, 1)

Let us find the slope of line

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (6,-9)\\\\(x_2, y_2) = (7, 1)$

Therefore,

$m = \frac{1+9}{7-6}\\\\m = \frac{10}{1}\\\\m = 10$

Thus slope of line is 10

The point slope form of line is given as:

$y - y_1 = m(x-x_1)$

Substitute m = 10 and $(x_1, y_1)$ = (6, -9) in above

$y + 9 = 10(x - 6)$

Thus the equation of line in point slope form is found

6 0

3 years ago

Type the correct answer in the box. If necessary, use / for the fraction bar. A shaded triangular pyramid and an inverted shaded

Lapatulllka [165]

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

<h3>How to calculate the volume of a pyramid?</h3>

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height.

b is the base area.

Since both pyramids have the same base area as the prism, their combined volume is given by:

Combined volume = (1/3 × b × h) + (1/3 × b × h)

Combined volume = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

Read more on pyramid here: brainly.com/question/16315790

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7 0

2 years ago

En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están nume

nordsb [41]

Answer:

1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16

Step-by-step explanation:

Para la identificación de las brocas tenemos dos consideraciones:

1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre

9/16 3/16 7/16 5/16 11/16 el orden es como sigue ( de menor a mayor)

3/16 5/16 7/16 9/16 11/16

2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16 amplificando la fracción es decir por ejemplo

1/4 = 1*4/4*4 = 4/16

Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos

1/4 = 4/16

3/8 = 6/16

1/2 = 8/16

5/8 = 10/16

1/8 = 2/16

Entonces hay diez brocas la primera será 1/16 y la número 12 12/16

Y finalmente el orden es:

1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16

4 0

3 years ago

Solve the exponential equation for x

34kurt

216 = 6^3

216 = 6^(4x + 11)

6^3 = 6^(4x + 11)

3 = 4x + 11

4x = 3 -11

4x = - 8

x = -2

8 0

3 years ago

Read 2 more answers