5x+y=2 2x3y=62
whatn is x and y

Answers

Answer 1

Answer: 5x + y = 2 ⇒ 10x + 5y = 4
2x + 3y = 62 ⇒ 10x + 15y = 310
         -10y = -306
      -10 -10
   y = -30.6
      5x - 30.6 = 2
   +30.6 +30.6
      5x = 32.6
   5 5
      x = 6.52
   (x, y) = (6.52, -30.6)

Answer 2

Answer: ok sure!
first we have to find y

so...
lets start with the first one:

5x+y=2 (we cannot have two variables together so:
5x+y=2
-y =-y so.. now we have 5x= 2-y (but we must get y positive and by itself!)
-2 = -2
so: now you have
5x-2=-y but need a positive variable so multiply each side by a (-1)
(-1) 5x-2=-y (-1) So..
-5x +2 =y so now we know Y!
therefore whenever you see why in the next problem insert in its place: -5x +2

I hope it helps!! :)

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Evaluate the related series,of each sequence

-9,-16,-23,-30,-37,-44

Answers

I think its just that the series decreases by 7 from n-1 to n

Ellason wants to solve the following system using the elimination method: 5x + 2y = 30
x + y = 8

What number should the equation x + y = 8 be multiplied by to eliminate y?

Answers

5x + 2y = 30
x + y = 8

when multiplying an equation every term is multiplied
eg:
x + y = 8 //multiply by 3
3*x + 3*y = 3*8
3x + 3y = 24

in elimination method two equations are added when there are oposite coefficients of chosen variable

5x + 2y = 30 coefficient of y is 2
x + y = 8 //multiply by -2

5x + 2y = 30
-2x - 2y = -16
-------------------- sum
5x-2x+2y-2y=30-16
3x = 14 //y has been eliminated (elimination method)

answer: the number is -2

Solutions

1) Multiply the 2nd row by 5

5x+2y=30

5x+5y=40

2) Subtract the 2nd row from the 1st row

−3y=−10

3) Solve for the variable y in the above equation

⇒ Solve for y

−3y=−10

⇒ Divide both sides by −3

y=−10 / −3

⇒ Simplify 10 / −3 to −10 / 3

y=10 / 3

4) Substitute y=10 / 3 into any of the two equations above.Let's pick the first equation 5x+2y=30.

5x+2× 10 / 3 = 30

5) Solve for x in the above equation

(there are more steps but the answer is below)

x=14 / 3

Therefore,

x=14 / 3

y=10 / 3

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

$\text{unit rate per hour} = (1600)/(400) = 4$ dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

From the given tables:

Consider two values (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

$\text{Slope} = (12-(-8))/(5-1)$

⇒ $\text{Slope} = (20)/(4) =5$

⇒Slope of g(x) = 5

$\text{Slope of g(x)} > \text{Slope of f(x)}$

Therefore, the function g(x) has faster slope.

f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

A survey showed that 25% of students chose cola as their favorite soda; 40% chose orange; and the other 35% chose grape. If you survey 32 students from the same group, how many will choose cola?16 people
8 people
12 people
25 people

Answers

A survey showed that 25% of students chose cola as their favorite soda;
40% chose orange
and the other 35% chose grape.
There are 32 students fromthe same group that took the survey. Let's find out how many will choose cola.
=> 32 * 0.25 = 8 Therefore, there are 8 people that chooses soda as their favorite drink.

Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel

Answers

Answer:

i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.

Step-by-step explanation:

Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.

---------

and

----------

Answer:

Literally, parallel lines are lines that extend in both directions without meeting.

The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws

Step-by-step explanation:

Rachel

The definition implies that two lines are said to be parallel if they are both perpendicular to another line.

This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.

Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.

Alex

Alex's definition is correct, and it has no drawback because the definition can be applied to concepts where parallel lines are used.

Briana

Here, Brianna introduced the concept of slopes.

Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.

A carpenter uses the equation y = 3.75x to determine how many hours (y) it will take him to build a desk (x). The carpenter built 5 desks. How long did it take him?