Which is the most efficient method substitution or elimination or graphing to solve the system of equation. Explain why the method you pick is the is the most efficient. 5x + 3y = 6 and -4x -3y = -3

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

5x + 3y = 6 → (1)

- 4x - 3y = - 3 → (2)

the most efficient method here would be elimination.

add (1) and (2) term by term to eliminate y

x + 0 = 3

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

5(3) + 3y = 6

15 + 3y = 6 ( subtract 15 from both sides )

3y = - 9 ( divide both sides by 3 )

y = - 3

solution is (3, - 3 )

Answer 2

Answer:

[tex](3,-3)[/tex]

Step-by-step explanation:

[tex]5x + 3y = 6[/tex]

The most efficient method for this equation is elimination.

[tex]x + 0 = 3[/tex]

[tex]5(3) + 3y = 6[/tex]

Substitute x = 3 into any of the equation and solve for y.

[tex]5(3) + 3y = 6[/tex]

[tex]15 + 3y = 6[/tex]

[tex]-15 -15[/tex]

[tex]3y = - 9[/tex]

[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]

[tex]y=-3[/tex]

[tex](3,-3)[/tex]


Related Questions

What is the slope of line that passes through the points ( 2 , 1 )( 10 , 9 )

Answers

Answer:

1.

Step-by-step explanation:

the slope can be calculated as

[tex]slope=\frac{y_2-y_1}{x_2-x_1};[/tex]

according to the formula above:

slope=(9-1)/(10-2)=1.

3. a. Prove that A(1,1), B(4,4), C(6,2) are the vertices of a
right triangle using slopes.

Answers

Answer:

Step-by-step explanation:

One of the angles of a regular octagon is 135°. What is the sum of the measures of all the interior angles of this octagon?

A. 720°
B. 1056°
C. 1080°
D. 1584°

Answers

Answer: C

Step-by-step explanation:

Since an octagon has 8 interior angles, the sum of the measures is 135(8)=1080.

simplify (5^3)^5 please??

Answers

Step-by-step explanation:

please mark me as brainlist please

Question 2 of 5
A cylinder has a diameter of 10 inches and a height of 20 inches. What is the
volume of the cylinder?
А. 1000п
B. 50017
C. 200017
O D. 2001
SUBMIT

Answers

Answer

B. 500 pi

Step-by-step explanation:

I NEED THIS DONE IN 5 MIN SOMEONE HELP

Answers

Answer:

4

Step-by-step explanation:

How many times does 15 go into 30

Answers

Answer:

2

Step-by-step explanation:

subtract 15 from 30 till u have 0 and count how many times u subtracted 15 from 30

Answer:

2

Step-by-step explanation:

30÷15=2

so 15 goes into 30 2times

What is the overlap of Data Set 1 and Data Set 2?

high

moderate

low

none
Two line plots with the same scale and interval, from fifty two to sixty two, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has eleven data values. Values appear as x marks above the line. Upper plot data values are one x mark above fifty three, one x mark above fifty four, one x mark above fifty five, two x marks above fifty six, three x marks above fifty seven, two x marks above fifty eight, and one x mark above sixty. Lower plot data values are one x mark above fifty four, one x mark above fifty five, two x marks above fifty six, three x marks above fifty seven, two x marks above fifty eight, one x mark above fifty nine and one x mark above sixty.

Answers

Answer:

Well my answer is high data set I took the test and got 100%

Step-by-step explanation:

Answer:

High

Step-by-step explanation: I took the test.

In the figure shown, MR = 45 units, and RQ = 15 units. What is the length of PR?

Answers

I’m not entirely sure as why you would have to use RQ, but you could use the equation:

tan30=(PR)/45

Solving for PR, you can put 45tan30 into the calculator to get approximately 21.981 units.

Answer pleaseee!!!!

Answers

First all the angles in a triangle equation 180 degrees

This triangle the bottom two angles are the same as the sides are the same
So
4x +1 is the angle of the bottom two angles

So we have
(4 x+ 1) + (4x + 1) + (5x - 4) = 180
Dose that first part make sense

Find the value of x.

Answers

the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Given: (3x+2)/7 + (4(x+1))5 =
(2(2x+1))/3 To find: The value of
x. Solution: To find the value

Can someone pls explain me how to do this pls!!!

Answers

Answer:

A, C, E

Step-by-step explanation:

You would want to graph the points an if the line goes through them then that would be the answer

There are 65 seats on a train. 60% of the seats are empty. How many empty seats are there
on the train?

Answers

Answer:

39 seats are empty

Step-by-step explanation:

60% of 65 is 39

2. Simplify each expression into its standard
(x - 3)(6x - 2)

Answers

Answer: 6x² - 20x + 6

Step-by-step explanation:

x(6x - 2) -3(6x - 2)

= 6x² - 2x - 18x + 6

= 6x² - 20x + 6

QUICK PLEASE ANSWER
find the product of 7/8×9/10. Then write another product with the same answer

Answers

Answer:

63/80 and 7/4 * 9/20

Step-by-step explanation:

7/8 * 9/10 = 63/80

7/4 * 9/20

Normal body temperature is 98.6 degrees Fahrenheit. When Tyler had a fever, his temperature went up to 102.2 degrees. By how much did Tyler's temperature increase?​

Answers

102.2 minus 98.6 equals3.6

Suppose the population of a city increasing at a rate of 6. 5% per year. The current population is 35,000. Predict what the population will be in 32 years. ​

Answers

Answer:

262,576.28

Step-by-step explanation:

35,000(1+.065)^32

the hot air popcorn maker used at the movies theater produces 14 cups of popcorn in 2.5 minutes. what is the unit rate per minute?

Answers

14 popcorns = 2.5 minutes
14 divided by 2.5 = 6.5 popcorns
2.5 divided by 2.5 = 1 minute

Therefore, the hot air popcorn maker makes 6.5 popcorn per minute.

Find the smallest part when £80 is
shared in the ratio 7:3

Answers

Answer:

£24

Step-by-step explanation:

= 3/(7+3) × £80

= 3/10 × £80

= £24

24 because 7+3=10 80 divided by 10=8 so 3 is the smallest part so you do 8x3 which equals 24

A snowboarding competition site is using a new design for the parallel giant slalom. The designer of the slalom is investigating whether there is a difference in the mean times taken to complete a run for men and women competitors. As part of the investigation, independent random samples of men and women who will use the slalom run are selected and their times to complete a run are recorded. Which of the following is the appropriate inference procedure by which the designer can estimate the difference in the mean completion times for men and women?
i. A one-sample I-Interval for a sample mean e-sample interval for a population mean
ii. A matched para tantervil for a meen difference
iii. A two-sample -interval for a difference between population means
iv. A two-sample t-interval for a difference between sample means

Answers

Considering that we have two samples, and the standard deviation for each sample, the correct test is given by:

iii. A two-sample -interval for a difference between population means.

When to use a t-test and a z-test?If we have the standard deviation for the sample, the t-test is used.If we have the standard deviation for the population, a z-test is used.

Here, there are two samples, and we will investigate their difference. The information taken from the sample is expanded to the population, and since we have the standard deviation for each sample, a t-test is used, hence the correct option is given by:

iii. A two-sample -interval for a difference between population means.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

An art gallery owns a painting that is valued at $37,000. The gallery owner estimates that its value will increase by 10% every year. If the owner is correct, then how much will it be worth in 4 years?

Answers

Answer: $51,800

Step-by-step explanation:

if the value increases by 10% every year, we can represent this as a linear function, in the form:

y = mx + b

y = [0.1(37,000)]x  + 37,000

0.1 x 37000 represents the 10% increase per year, and x represents the number of years that have passed. we add 37,000 at the end to represent the original cost of the painting.

we can simplify the 0.1(37,000) to 3700, which is how much the painting's cost should increase per year. so our equation is:

y = 3,700x + 37,000

So, in 4 years, the painting will be worth:

y = 3,700(4) + 37,000

14,800 + 37,000

$51,800

The price of milk increased by 8%. If the original price is R10,84 what is the new price?

Answers

Answer:R11.718

R10.85*108/100=R11.718

Step-by-step explanation:

deposited ​$6,000 into a savings account 3 years ago. The simple interest rate is ​2%. How much money did earn in​ interest?

Answers

Answer:

$360

Step-by-step explanation:

Answer: 8,000

Have a blessed day.

high speed train travels at a speed of 200 km/h if the train sets off from station A at 12 24 and reaches station B AT 14 12 find the distance in between two stations giving your answer in meters.

Answers

Answer: 360000m

Step-by-step explanation:

Okay, so since we know that this train’s speed is 200km/h, let’s find the time difference between 12 24 and 14 12.

14 12 - 2hrs = 12 12

12 12 + 12min = 12 24


2hrs -12min = 1hr 48 min


1hr 48 min also equals to 1.8hrs in decimals. So:


200km x 1.8 = 360km


Now we have to find the answer in meters. Since 1km is equal to 1000m,

That means 360km equals 360000m.


Therefore 360000m is the answer

Zoe and Jamie share some money in the ratio 4:3 Zoe gets £30 how much does Jamie get

Answers

Answer:

22.5

Step-by-step explanation:

Zoe gets 4 parts out of 7. 30/4 is 7.5.

So 7.5 is one part.

3 parts is 7.5x3=22.5

what is the area, please help me!

Answers

Answer:

30ft2. (C.)

I did this question once.

Sorry for my Lack of explanation.-

Answer:

C

Step-by-step explanation:

Draw a line to make 2 separate shapes and find the area of each them then add the 2 areas together

18+12=30

This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller. What is the difference in volume of the two compartments? Enter your answer in the box.

Answers

The difference in volume of the two compartments is 210 cm³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or figure.

The volume of the compartment = area of base * height

Area of base (trapezoid) = (1/2)(sum of parallel side)(height) = (1/2) * (15 + 5) * (7) = 70 cm²

Volume of compartment = 70 * 8 = 560 cm³

For the new compartment, height = 8 + 3 = 11 cm, hence:

Volume of new compartment = 70 * 11 = 770 cm³

Difference in volume = 770 cm³ - 560 cm³ = 210 cm³

The difference in volume of the two compartments is 210 cm³

Find out more on volume at: https://brainly.com/question/12410983

Answer:  210 because I got it correct on the k12.

Step-by-step explanation:

A football stadium sells regular and box seating. There are twelve times as many
regular seats as there are box seats. The total capacity of the stadium is 10,413. How
many box seats are in the stadium? How many regular seats?

Answers

Answer:

There are 801 box seats and 9612 regular seats.

explanation:

Let the number of box seats be x,

Then the regular seats is 12x

The sum of seats equals to 10,413

Solve:

12x + x ➙ 10,413

13x ➙ 10413

x ➙ 801

There are 801 box seats.

Find for regular seats:

➙ 12(x)

➙ 12(801)

➙ 9612

There are 9612 regular seats.

The perimeter of a square is equal to the perimeter of rectangle of length = 16 cm and breadth=4 cm. What is the perimeter and side of the square?

Answers

Answer:
10cm
Step-by-step explanation
Perimeter of the rectangle = 2(16+4) = 40cm
Assume the length of a side of the square as x.
Therefore the perimeter of ssquare can be wwritten as 4x.(all sides are equal in a square )
And we can build up a simple equation as
4x=40
When u simplify this equation,you get the x value as 10cm. That's the side length of the square.


Which expression is equivalent to 20c - 8d?
1. 2 (10c +4d)
2. 4 (5c - 8d)
3. 4 (5c - 2d)
4. c (20 - 8d)
PLEASE HELP ME!!

Answers

Answer:

4 (5c - 2d)

Step-by-step explanation:

I am going to show you how its 4 (5c - 2d) below.

We factorise .

4×5c - 4×2d

20c -8d

Hope it helped.

Aliyyah.
Other Questions
2x+4y=60 and y=x+3 i need a answer quick hello can you correct my answer, please choose the correct answer.I will mark your answer as brainliest The patient had an appendectomy and total (abdominal) hysterectomy performed during the same surgical episode. Which (CPT procedure code and) modifier would be used to indicate multiple procedures performed for the appendectomy (and total abdominal hysterectomy)? Formation of Ionic bond 1. formation of Potassium Sulphide. How is Montesquieu's concept of the separation of powers incorporated intothe U.S. Constitution? Democracy grew after thePeloponnesian War.TrueFalse Please Help!According to Alexis de Tocqueville, why was egalitarianism a key to theUnited States' success as a democracy?O A. It enabled those not of traditionally privileged backgrounds toparticipate in government.B. It supported a diversity of opinions among the citizenry.c. It encouraged people to pursue economic success freely.D. It allowed people to express radical opinions without fear ofreprisal, !!!PLEASE HELP!!!!How can you find the solution to a system of equations by graphing?(Look at the image for the answers its multi choice) If you get paid biweekly how many paychecks in a year. Kinetic energy lab report (soda bottle and bean bag) Does anyone have the data part filled out? PLEASEEEEEEE HELPPPPPPPP ASAPPPPPP Which of the following are advantages of automatic updates?They protect against viruses.They protect against hackers.They provide free software for your computer.They keep your computer running at peak performance. For open book tests, you dont need to know everything, just where to find everything. please select the best answer from the choices provided t f Which is a cause of drought? A.High precipitation levels B.low water demand C.low precipitation levels D.high water demand A function f gives the number of stray cats in a town t years since the town startedan animal control program. The program includes both sterilizing stray cats and finding homes to adoptthem. An equation representing f is f(t) = 243(3)'.What is the value of f(t) when t is 0? Explain what this value means in this situation? Read the following excerpt and identify the intended audience.In recent years the growing concern over pollution and traffic has encouraged more people to give up their cars and ride their bikes. While good for the environment, the increase in cyclists on the road has created some safety concerns. What rules and accountability do bicyclists have? Local law enforcement imposes a number of rules on drivers and as a community we should insist that there are rules for the cyclists as well. Riders need to take their role on the road as seriously as drivers do.Which of the following best identifies the intended audience of the excerpt?The intended audience is police officers.The intended audience is community members who ride their bikes.The intended audience is members in the community.The intended audience is drivers in the community. A chess club with 32 members is electing a new president. Raina received 8 votes. What percentage of the club members voted for Raina? why muslims won election of 1945? 7 marks If y varies inversely as x and y = 18 when x = 4, what is y when x = 24? a. 12 b. 6 c. 3 d. 16. Why did Gandhi choose a spinning wheel as a symbol for his nationalist movement? A. Because India was the world's largest producer of cotton at the time. B. To highlight the tradition of Indian textiles and as a symbol of nonviolent protest, like boycotts. C. He hoped to revitalize the learning of traditional skills like spinning and farming.