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3 years ago

What is the best first step for solving the given system using substitution while avoiding fractions? =9x+4x=10 -9x+3y=3

Mathematics

2 answers:

padilas [110]3 years ago

4 0

Answer:

Solve for y in the second equation

D is correct

Step-by-step explanation:

Given: 9x+4y=10 and -9x+3y=3 system of equation.

We are given system of equation in x and y form of straight line.

We need to solve for x and y without using fraction.

We will choose those equation has common factor.

If we pick first equation coefficients are 9,4 and 10.

Here, no any common factor.

Now we pick second equation.

-9x+3y=3

Common factors of coefficients are 3

If we divide each term by 3 we will get coefficient of y be 1 and rest are not in fraction.

So, we will pick second equation and solve for y.

-9x + 3y = 3

Divide by 3 both sides to each term

-3x + y = 1

Add 3x both sides

y = 3x + 1

So, we get y = 3x + 1 . In this equation none is fraction term.

aivan3 [116]3 years ago

3 0

Answer:

Solve for y in the second equation

Step-by-step explanation:

We assume your system is ...

-9x +4y = 10
-9x +3y = 3

Dividing the second equation by 3 gives ...

-3x +y = 1

so an expression for y without fractions can be found by solving for y, that is, by adding 3x:

y = 3x +1

_____

Comment on alternate solution

We'd be tempted to solve the first equation for -9x and substitute for that.

-9x = 10 -4y

(10 -4y) +3y = 3 . . . . . substitute for -9x

-y = -7 . . . . . . . . . . . . . simplify, subtract 10

y = 7 . . . . . . . . . . . . . . multiply by -1

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Compare the difference between an independent event and a dependent event.

pshichka [43]

<h2>⚠ANSWER⚠ </h2>

Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring.

↪DEPENDENT EVENT

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events

Robbing a bank and going to jail.
Not paying your power bill on time and having your power cut off.
Boarding a plane first and finding a good seat.
Parking illegally and getting a parking ticket.

↪INDEPENDENT EVENT

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

When two events are independent, one event does not influence the probability of another event.

Simple examples of independent events

Owning a dog and growing your own herb garden.
Paying off your mortgage early and owning a Chevy Cavalier.
Winning the lottery and running out of milk.
Buying a lottery ticket and finding a penny on the floor.

☆...hope this helps...☆

3 0

2 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3>Solution:</h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

Substituting given values we get,

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago

An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel

horrorfan [7]

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2

7 0

3 years ago

Help pls! 10 points!!

zheka24 [161]

Answer:

A. The perimeter of the original figure is multiplied by 3 ,and the area is multiplied by 9.

(9=3²)

it is a rule in the dilation course:

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3 years ago

In a certain class, the ratio of girls to boys was 5 to 4. If there are 80 boys in the class, how many students are there in all

andriy [413]

there are 180 students in the entire class

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3 years ago

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