Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15

Answers

Answer 1

Answer:

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

Answer 2

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )


Related Questions

can someone pleaseee help me with explaination

2-3a / 4 >5

THE DASH IS FOR DIVISION SO 2- 3a OVER 4

Answers

Answer:

a < -4

I apologise if it is wrong.

S, U, N are collinear. Select the point that satisfies the definition of betweenness if NU + US = NS.

Answers

Answer: Point U is between points N and S.

The order S, U, N shows U is in the middle. We can read this in reverse to get N, U, S.

Notice how the letter "U"s are adjacent in NU and US to get NU+US.

can someone please help me .

Answers

The answer I got is r= -3.5

The sum of three consecutive numbers is 198. Find the numbers.
(Show Your Work)

Answers

Answer:
first number = x
second number = x + 1
third number = x + 2

x + x + 1 + x + 2 = 198
3x + 3 = 198
3x = 195
x = 65

the numbers are 65, 66, and 67

help me please:(((( i’m struggling pretty bad

Answers

3 / (4/9)

First, let's multiply the top and bottom by 9 to get rid of the fraction in the denominator.

27 / 4 is the final answer.

Answer:

31/9

Step-by-step explanation:

3 4/9 as an improper fraction is 31/9.

We get our answer by multiplying the denominator of the mixed numbers by its whole number and adding that answer to its numerator. We get 31, and we put that over the denominator.

3 4/9

9x3=27

27+4=31

31/9

Alguém poderia me ajudar nessa questão a print está aí

Answers

Can you put that in English

this is integrated math2, i’m so lost idk what this is

Answers

If you have questions just message me. I hope this helps

This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers. A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.

Answers

Answer:

12

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Find all numbers such that 18 plus 4 times the number is less than 30.

Answers

Answer:

The numbers are 2,1,0,-1,-2,..............etc

Step-by-step explanation:

This is actually a word problem

step one:

let the maximum number be  x  

18+4x<30

4x<30-18

4x<12

divide both sides by 4 we have

4x<12

x<3

step two:

From this analysis, we can see that all possible numbers are real numbers less than 3 that is 2,1,0,-1,-2,..............etc

Convert 1.76km into cm

Answers

Answer:

176000cm

Step-by-step explanation:

1.76km * 1000m / 1km * 100cm / 1m = 176000cm

Answer:

176000

Step-by-step explanation:

To convert km to cm, we need to multiply the number by 100000, which results in your answer.

If there are 2.2 pounds in 1 Kilogram, how many pounds are there in x kilograms?

A)2.2x

B)2.2/x

C)x/2.2

D)2.2+c

Answers

Answer:

The answer is A

Step-by-step explanation:

If there are 2.2 in 1 kilogram and you are trying to find out how many are in many kilograms then you multiply.

Hopefully this helps you :)

pls mark brainlest ;)

The expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that there are 2.2 pounds in 1 Kilogram. Therefore, the expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

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Please 20 points like rn 5 mins left on test

Answers

Answer: counterclockwise rotation of 90° and a reflection over y axis

Step-by-step explanation:

0.77 in scientific notation

Answers

Answer:

7.7 x 10 ^-0.1

Step-by-step explanation:

you move the decimal till it is behind the the first number. making it a whole number.

hope this helps

An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour. Round your answer to the nearest hundredth.

Answers

Answer:

its c

i took the quiz

Step-by-step explanation:

The speed in centimeters per hour is 0.2328 centimeters per hour.

Given,

An object is moving at a speed of 11 yards every 6 months.

We need to find this speed in centimeters per hour.

How many centimeters in one yard?

1 yard = 91.44 centimeters.

We have,

11 yards every 6 months

11 yard = 6 months

1 month = 30 days

1 day = 24 hours

30 days = 30 x 24 hours

30 days = 720 hours

1 month = 720 hours

6 months = 6 x 720 hours

6 months = 4320 hours

11 yards = 4320 hours

1 yard = 91.44 cm

11 x 91.44 cm = 4320 hours

1005.84 cm = 4320 hours

So,

we will find how many cm per hour.

if 1005.84 cm = 4320 hours then,

Dividing both sides by 4320.

1005.84/ 4320 cm = 4320/4320 hours

0.2328 cm = 1 hour

Rounding to the nearest hundredth.

0.23 cm = 1 hour

Thus the speed in centimeters per hour is 0.2328 centimeters per hour.

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The more time that I spend reading, the more pages I have read. Which variable is independent?

Answers

Answer:

The more time i spend reading

Step-by-step explanation:

The variable which causes a change to the variable which we intend to measure in an experiment is the independent variable, Hence, the independent variable is the amount of time spent reading.

The Independent variable in an experiment is also called the explanatory variable, which is used to tweak the value obtained for the dependent or measured variable.

In the scenario described, the measured variable is the number of book pages read which is determined by the number of time spent reading (independent variable.)

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If 30% of a number is 60 and 70% of the same number is 140, find 40% of that

Answers

Answer:

80? im like 90% sure its 80

A craft store sells boxes of two different varieties of colored pencils. The table shows the number of boxes sold last month. What is the total dollar amount of colored pencils sold?

Answers

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

The total dollar amount of coloured pencils sold is $108.75.

Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.

We need to find what is the total dollar amount of coloured pencils sold.

What is the tally table?

A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.

Now, the cost of each pencil is $4.25.

Then the cost of 15 pencils=15×4.25=$63.75

The cost of each pencil is $3.75.

Then the cost of 12 pencils=12×3.75=$45

Total=63.75+45=$108.75

Therefore, the total dollar amount of coloured pencils sold is $108.75.

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Hi i just like kinda forgot what that line above the two numbers in 2.21 mean. Can you help me?​

Answers

Answer:

It means .21 never ends like 2.2121212121.....

Answer:

it means that what ever is under that line is repeating so it just keeps going ex. 2.212121212121212121212121212121...................   and never ends

hope this helps:)

Step-by-step explanation:

The difference of 5 times a number and 13 is 10. Find the
number.

Answers

Answer:

let the number be a.

now,

5a-13=10

or, 5a= 10+13

or, a = 23/5

or, a = 4.6

therefore, the number is 4.6

This is also due tonight..​

Answers

Answer: F,E,D

Step-by-step explanation: F,E,D is complementary to F,G,C because it is The angle F,E,D is a corresponding angle.

Find the surface area of each solid to the nearest tenth if necessary

Answers

Where’s your question? Like ...the numbers

I NEED TO KNOW NOW IT'S DUE!!

Last summer, Fred earned 16 dollars per day, and Maria earned 18 dollars per day together, they earned 1780 dollars. If Fred worked 5 more days than Maria, how many days did Maria work?​

Answers

x = # of days Maria worked

x + 5 = # of days Fred worded

$16(x + 5) + $18x = $1780

Let's distribute the $16

$16x + $80 + $18x = $1780

Combine like terms

$34x + $80 = $1780

Subtract $80 from both sides.

$34x = $1700

Divide both sides by $34

x = 50 days

Maria worked 50 days

What is the scientific notation for 6.782 x 10-4

Answers

Answer:

that is already in scientific notation

Step-by-step explanation:

if you are asking for what's the actual number, then it's 0.000678

The midpoint of AB is M(-3,-3). If the coordinates of A are (-8,-2), what are the coordinates of B? Please explain

Answers

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

Consider this Venn diagram of the prime factors of 210 and 330. Which is the least common multiple of these two numbers?

Answers

The least common multiple of these two numbers is 2310. Hope this helps

two decimals that are equivalent to (4 × 10) + ( 7 × 1/100)

Answers

Answer:

0.07 ibelive hope this helps

Step-by-step explanation:

Bob, Joe, Pete, Tom, Dic and Tim share s sandwiches. How many sandwiches does each boy get?

Answers

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

Which of the following statements is false?

2 ≥ 8
2 ≤ 8
8 ≤ 8
2 < 8

Answers

Answer:

the top one

Step-by-step explanation:

The answer is A. 2 ≥ 8

What does the symbol "kg" represent in the metric system?

1,000 grams
100 liters
10 meters
1 degree Celsius

Answers

Answer:

1000 grams

Step-by-step explanation:

The symbol "kg" represents 1,000 grams in the metric system.

What is a metric system?

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some instances of measurements made with the metric system:

The unit used to measure lengths and distances is the meter. In daily life, we use this unit to measure things like the length of a piece of clothing, the distance from school to home, etc.

You may have noticed that the bag of your favorite food has a weight listed on it. 250 grams of potato chips, The unit of weight used here is the gram.

We know 1 kilogram is equal to 1×1000 grams.

Therefore, The symbol "kg" represents  1,000 grams in the metric system.

Similarly to convert gram to kg we have to divide by 100.

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Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).

Answers

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

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Question is incomplete, correct question has added below.

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