All categories

4 years ago

Solve the following system of equations. 6x -5y=13 & 9y-15+2x=0

Mathematics

1 answer:

julsineya [31]4 years ago

5 0

Answer:

x = 3

y = 1

Step-by-step explanation:

Hi !

6x - 5y = 13

9y - 15 + 2x = 0

6x - 5y = 13

2x + 9y = 15 | ×(-3)

6x - 5y = 13

- 6x - 27y = - 45

add

6x - 6x - 5y - 27y = 13 - 45

- 32y = - 32 | ×(-)

32y = 32

y = 1

replace y = 1

6x - 5(1) = 13

6x - 5 = 13

6x = 13 + 5

6x = 18

x = 3

Good luck !

You might be interested in

A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest

Anna11 [10]

Answer:

The population mean height of men in the village is 5.78 feet.

The sample mean height of men in the village is 7.8 feet.

Step-by-step explanation:

It is provided that the researcher's interest is in knowing the average height of the men in a village.

To the researcher, the population of interest is the men in the village, the relevant population data are the height of men in the village, and the population parameter of interest is the mean height of men.

It is also provided that there are 590 men in the village, and the sum of their heights is 3,410.2 feet.

Compute the average height as follows:

$\bar X_{H}=\frac{3410.2}{590}=5.78\ \text{feet}$

Thus, the population mean height of men in the village is 5.78 feet.

It is given that the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men.

The sample for his estimation is 18 men, the relevant sample data are the heights of the 18 men, and the sample statistic is the sample mean height.

It is also given that the sum of the heights of the 18 village men is 104.4 feet.

Compute the average height of the 18 men as follows:

$\bar x_{H}=\frac{104.4}{18}=7.8\ \text{feet}$

Thus, the sample mean height of men in the village is 7.8 feet.

8 0

3 years ago

An office has 30 computers. seventeen of the 30 are macintosh, and the remaining thirteen are windows. two computers are randoml

Aleks04 [339]

Given the first was Windows, we're choosing the second from 17 macs and 12 Windows, so

$p = \dfrac{17}{17+12} = \dfrac{17}{29}$

6 0

3 years ago

Which ordered pair is a solution of the system of inequalities below?

Marizza181 [45]

Answer:

I got A

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

( PLASE HELP ME) Solve the following equation.

vovikov84 [41]

Answer:

x = 2

Step-by-step explanation:

5(x-4) =-10

Distribute 5 by multiplying x and -4 by 5

5x - 20 = -10

Add 20 to both sides

5x - 20 + 20 = -10 + 20

5x = 10

Divide both sides by 5

5x ÷ 5 = 10 ÷ 5

x = 2

-Chetan K

7 0

3 years ago

Read 2 more answers

What is the inverse of f(x)=x^2+5 and is it a function?

Alla [95]

Answer:hello :

let : y = f(x)

you have : y = x² + 5

calculate : x

x² = y - 5

x exsit for : y - 5 ≥ 0

if : x ≥ 0 x = √( y - 5) so the inverse functio for f is : g(x) = √( x - 5)

if : x ≤ 0 x = - √( y - 5) so the inverse functio for f is :h(x) = - √( x - 5)

8 0

3 years ago