A side of 6 feet, and a 120° angle<br> A. One<br> B. None. C. Many

Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5

ladessa [460]

Answer:

The solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

$2y = 2x - 8$

$2x + y = 5$

Let us solve the system of equations using the elimination method

$\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}$

Multiply y + 2x = 5 by 2: 2y + 4x = 10

$\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}$

subtracting the equations

$2y+4x=10$

$-$

$\underline{2y-2x=-8}$

$6x=18$

solve 6x = 18 for x

$6x=18$

Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$

simplify

$x=3$

For 2y - 2x = -8 plug in x = 3

$2y-2\cdot \:3=-8$

$2y-6=-8$

Add 6 to both sides

$2y-6+6=-8+6$

Simplify

$2y=-2$

Divide both sides by 2

$\frac{2y}{2}=\frac{-2}{2}$

Simplify

$y=-1$

Therefore, the solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

8 0

2 years ago

A SOLUTION CONTAINS 60% WATER, 15% BLEACH AND THE

Allushta [10]

Answer:

20 ounces of cleaner

Step-by-step explanation:

Water 48 oz is 60% of unknown total. 60% = 3/5. Create equation and solve

48= 3x/5. 240= 3x. 80 = x

Total of water, bleach and cleaner is 80 ounces

60% + 15% = 75%

100% - 75%= 25% cleaner

.25 × 80 = 20 ounces

6 0

3 years ago

Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

$\text{Total number of jelly beans}=5+4+3=12$

Now we can find out out our desirable ratio by substituting our finding in the ratio.

$\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3$

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.

6 0

3 years ago

a five inch bamboo shoot doubles in height every three days. If the equation y=ab to the x power, where x represents the number

PtichkaEL [24]

This question was once asked before so I will put it here.

The correct answer for the question that is being presented above is this one: "x = 2; a = 5; b = 3" A 5 inch tall bamboo shoot doubles in height every 3 days. If the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot.

5 0

3 years ago

In a city the population is increasing exponentially at a rate of 1.6% per year.

SCORPION-xisa [38]

Answer:

37.36%

Step-by-step explanation:

Each year it increases 1.6%.

So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...

so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%

please give thanks :)

3 0

3 years ago

Read 2 more answers

A side of 6 feet, and a 120° angle A. One B. None. C. Many