3. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use the addition property of equality and multiplication property of equality in your answers. (8 points: 1 point for each question)

5x + 2y = 7
3x – y = 2

To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)

Why is this multiplication allowed? (1 point)

What variable will be eliminated when the equations are combined after

the multiplication? (1 point)

Next, add the equations together. Your answer should be a single equation with one variable. (1 point)

Why can you add the equations? (1 point)

Solve the equation for x. (1 point)

Substitute x back into one of the equations to solve for y. (1 point)

What is the solution to the system of equations? (1 point)

Answers

Answer 1

Answer:

Step-by-step explanation:

To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)

5x + 2y = 7

6x –2y = 4

Why is this multiplication allowed? (1 point)

Because the entire equation was multiplied by the same number, the equation remains the same.

What variable will be eliminated when the equations are combined after  the multiplication? (1 point)

The Y variable

Next, add the equations together. Your answer should be a single equation with one variable. (1 point)

11x = 11

Solve the equation for x. (1 point)

X = 1

What is the solution to the system of equations? (1 point)

X = 1 and Y = 1 so the answer is (1, 1)

(If you solve this again, but eliminate the X variable, you will still receive that answer 1, so Y = 1)

Answer 2

Sorry my first answer was wrong


Related Questions

What is 43434 x 21387128930523122222 and the first person to answer will get a brainliest from me!!!!!!!!!!!!!1

Answers

Answer:

9.2892856e+23

Step-by-step explanation:

PLEASE HELP IMMEDIATELY!! ITS WITH ORDER OF OPERATIONS AND PEMDAS!!

Answers

Answer:

Answer for question 1: 52

Answer for Question 2: 68

Answer for question 3: 40

Answer for Question 4: 25

Step-by-step explanation:

1: [tex](4 + 3)^2[/tex] = [tex]7^2[/tex] = 49 (12 ÷ 4) = 3

3 + 49 = 52

2: [tex](12 * 9- 7^2) + 9[/tex] = 12 * 9 = 108 - 49 = 59 + 9 = 68

3: 28 ÷ 7 = 4 + [tex]6^2[/tex] = 40

4: [tex](2 * 7 + 4^2) - 5[/tex] = 2 * 7 = 14 + 16 = 30 - 5 = 25

Hope this helps!

75x + 50 = 600
What is x

Answers

Answer:

x = 7.333

Step-by-step explanation:

75x + 50 = 600=> 75x = 600 - 50=> 75x = 550=> x = 550 ÷ 75=> x = 7.33

Conclusion:

Therefore:

x = 7.333

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

[tex]7\frac{1}{3}[/tex]

Step-by-step explanation:

So for this problem, we want to solve for x

75x + 50 = 600

First, we isolate x by subtracting 50 from both sides.

75x + 50 - 50 = 600 - 50

75x = 550

Then we divide both sides by 75 to find x

75*x/75=550/75

[tex]x=7\frac{1}{3}[/tex]

Please help me with this question

Answers

Answer:

8 = 2^3, 52 = 2^2 * 13

Step-by-step explanation:

8 = 2 * 2 * 2 = 2^3

52 = 2 * 2 * 13= 2^2 * 13

What the person above me said is correct

What is the volume of this solid?
Most Precise Answer = Round to the nearest hundredth
Approximate Answer = Round to the nearest tenth if necessary
?

Answers

Answer:

  4188.79 yd^3

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = 4/3πr^3

A sphere with a diameter of 20 yards has a radius of 10 yards, so its volume is ...

  V = 4/3π(10 yd)^3 = 4000π/3 yd^3 ≈ 4188.79 yd^3

Rounded to tenths, that's approximately 4188.8 yd^3.

Find the value of X and a missing angel in this triangle

Answers

Answer:

x=175

Step-by-step explanation:

175 person above is right pls mark Brainlest

The weight of Kyle's dog increased from 29.7 pounds to 48.9 pounds in an 8 month period. What was the average weight increase per month?

Answers

Answer:

per month means we divide by the months

here is our formula

we do 48.9-29.7 to see the increase, and divide by the months to see how much per month

(48.9-29.7)/8

We get 2.4, meaning the average weight increase per month is 2.4

Step-by-step explanation:

48.9-29.7=2.4 (: good luck hope you understand and get a good grade

The measure of an angle is 3.3°. What is the measure of its supplementary angle?

Answers

Answer: The supplement of an angle is 60 less than 3 times the measure of the complement.

Step-by-step explanation:

a supplementary angle is thrice as much as the complementary angle.

Not sure but hope it helped :)

What is the measure of angle 5 if the measure of angle 2 is 37 degrees and the measure of angle 3 is 72 degrees

Answers

Answer:

160 is a whole angle so 37+72=109                             160-109=51

51 is your answer

Step-by-step explanation:

Answer:

160 is a whole angle so 37+72=109                             160-109=51

51 is your answer

Help :

6. Solve the following equations:

a. x + 8 = 28

b. y - 4 = 30

c. s + 2s = 36

d. t - t + 4t = 16

e. 5a = 15

f. 8x - x = 21

Answers

A) x + 8 = 28

x = 28 - 8

x = 20

B) y - 4 = 30

y = 30 + 4

y = 34

C) s + 2s = 36

3s = 36

s = 12

D) t - t + 4t = 16

4t = 16

t = 4

E) 5a = 15

a = 3

F) 8x - x = 21

7x = 21

x = 3

[tex] \\ [/tex]

KemberlyJ

Who is in the game show?

Answers

Answer:

i Am bro

Step-by-step explanation:

What are you talking about

(not part of game show)


Which statement best sums up the most important purpose of the text features in Into the Unknown?

They make the text more interesting to read.
They tell readers what the main ideas of the text are.
They help readers visualize some of the central ideas of the text.
The artistic style helps readers understand the time period.

Answers

Answer:

C. They help readers visualize some of the central ideas of the text.

Step-by-step explanation:

The authors and readers visualize the book together, while the author is helping the readers out.

(Isn't this english? this is my only question.)

hope this helped.

what is 35x 1 ? OMG this is such a hard question!! first one to answer will get a brainliest!!!

Answers

Answer:

35 x 1 = 35

Step-by-step explanation:

answer: 35
explanation: anything times 1 equals itself

is walking at a constant speed of 2.5 miles per hour. How far can she walk in 8 ​hours? Complete the table and plot the points to solve.

Answers

Answer:

she can walk 20 miles in 8 hours if she walks st a constant speed of 2.5 miles per hour

Answer:

20 miles

Step-by-step explanation:

all you do is multiply 2.5 x 8

Marissa is biking with friends. Their distance traveled can be determined by the equation D = 13h, where D is the distance, in miles, and h is the number of hours spent biking. Identify the constant of proportionality.

Answers

Answer:

The 13 would be the constant.

Step-by-step explanation:

The weather forecast calls for a total of 16 inches of snow over the next week. If it is estimated that 2.8 inches of snow will fall on Monday, 3.4 inches of snow will fall on Tuesday, 1.6 inches of snow will fall on Wednesday, 2.1 inches of snow will fall on Thursday, 1.7 inches of snow will fall on Friday, and 2.9 inches of snow will fall on Saturday. How much snow should fall on Sunday?

Answers

Answer:

1.5 inches

Step-by-step explanation:

Answer: 1.5 in

Step-by-step explanation:

N'(-10,-15) is the image of N after a dilation with a scale factor of 5/4, centered at the origin. What are the coordinates of N?

Answers

When the point N is dilated, the coordinate of N changes to N'

The coordinate of point N is (8,12)

How to determine the coordinate of N

The given parameters are:

N' = (10,15)

k = 5/4

To calculate the coordinate of N, we make use of:

N * k = N'

So, we have:

N * 5/4 = (10,15)

Multiply both sides by 4

N * 5 = (40,60)

Divide both sides by 5

N = (8,12)

Hence, the coordinate of point N is (8,12)

Read more about dilation at:

https://brainly.com/question/3457976

Nuha is 5 years older than her brother Cole. The sum of their ages is 37. How old is Nuha?

Answers

Cole age = x

Nuha age = x+5

 

x+x+5 =37

 

2x +5 =37

 

2x =32

 

x =16

 

Cole age = x  = 16 yrs

Nuha age = x+5 =16+5 =21 yrs

So, she is 21!

Answer:

Nuha is 16

Step-by-step explanation:

x+x+5 =37

2x +5 =37

2x =32

x =16

-4(-6x + 4) ?
(including steps please!) :D

Answers

Answer:

-32

Step-by-step explanation:

first you need to find the unknown #(.666) and multiple it by 6 then add 4 then times 8 by for to get - 32.

Answer:

24x - 16

Step-by-step explanation

What we're doing here is factorisation

To factorise a number, you need to multiply the number outside of the bracket (in this case -4) by both of the inside numbers (-6x and 4).

First,

-4 x -6x

-4 x -6x = 24 ,   The x also needs to be kept- coming from the -6x, so the          answer would be 24x.

You may think that because there are minuses involved, the answer would be -24x but you need to remember the rule that 2 negatives make a positive!

Next,

Multipying the outside number by the second inside again:

-4 x 4 = -16

Alongside the rule that two negatives make a postive, another rule is that one negative and one positive always result in a negative.

Finally,

Connect both of these answers

24x - 16 is the answer!

(The minus/negative symbol in the final answer is because the second multipication turned out negative, if the second number was positive, the answer would be 24x + 16.)

Douglas went to Charlies General Store to get gas. He paid $52.20 for 20 gallons of gas. How much would he have paid if he got 25 gallons instead

Answers

$52.20/20= $2.61 , which equals how much he paid per gallon.

$2.61x25= $65.25 for 25 gallons of gas

Answer: $65.25
52.20 divided by 20 is 2.61. 25 multiplied by 2.61 is 65.25


The letter P on the number line below represents the number
(Use the hyphen for negative numbers and write answer as a decimal, such as -7.2)
P
(Sorry for messy pic)

Answers

54:67 34333:57643;7 (5577+DJ ) %hhc

A recipe for 1 batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.

Complete the double number line diagram below to show the amount of flour and vanilla needed for 1,2,3,4, and 5 batches of cookies. MAKE SURE YOU FILL OUT THE DOUBLE NUMBER LINE COMPLETELY! Then use the double number line to answer these questions:



a) If you use 20 cups of flour, how many teaspoons of vanilla should you use?

b) If you use 6 teaspoons of vanilla, how many cups of flour should you use?

Answers

a) 8 because 5.4=20 so 2.4=8
b)2.3=6 therefore you should use 15 of four ( 5.3=15)

Tony usually saves 1/5 of his allowance. Last week, he only saved 2/3 as much. How much of his allowance did he save last week?

Answers

Answer:

2/15

Step-by-step explanation:

All we have to do is multiply 1/5 by 2/3

1  x 2 = 2

5 x 3 = 15

Therefore, Tony saved 2/15 of his allowance last week.

Answer:

2/15

Step-by-step explanation:

you have to multiply 1/5 by 2/3

1  x 2 = 2

5 x 3 = 15

Therefore, Tony saved 2/15 of his allowance last week.

i need help i will give 17 po.ints and pleas no link i will also give brainlyiest

Answers

Answer:

The correct answer I believe is 5 13/40. I hope this helps! :) Please tell me If I'm incorrect!

Answer:

Step-by-step explanation:

4. 5.325

HELP ME PWEAS
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.

How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)

Answers

Answer:in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do

Step-by-step explanation:

3(4 + x) = 45
What is x?

Answers

Answer:

x = 11

Step-by-step explanation:

3(4 + x) = 45

=> 12 + 3x = 45

=> 3x = 33

=> x = 11

Conclusion:

Therefore:

x = 11

Hoped this helped.

the x is 11 because 4+11 = 15 and 15x3= 45 .

A 4-column table with 2 rows. Column 1 has entries Spent, Earned. Column 2 is labeled Day 2 with entries 7, 16. Column 3 is labeled Day 3 with entries 12, 22. Column 4 is labeled Day 4 with entries 9, 18.
Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day.

What is the expression needed to find his total earnings?


What were his total earnings?

Answers

Answer:

Step-by-step explanation:

Hope this helps.

A: 0.6

B: 0.4

C: 0.2

D: 0.8

Plz mark brainliest :D

Answer:

The answer is C/16 + (–7) + 22 + (–12)

Find the missing number.

Answers

25% - from 180 degrees

Answer:

25% - from 180 degrees

Step-by-step explanation:

A number line going from 0 to 1. There are 6 equal spaces between 0 and 1. The line contains 0, A, B, blank, C, D, 1.
What fraction is represented by Point A?

Point A is at
.



Which point represents 5
6
?


Point
represents 5
6
.

Answers

Answer:

The number line is divided by 6ths.

Step-by-step explanation:

There are 6 equally sized spaces between 0 and 1 on a number line. By definition of a fraction, a quantity is divided upon a number of equal parts in which can be expressed as the number of parts divided by the total number of parts. Therefore, the numerator in this case will be how many of the 6 parts are there at a certain point; the denominator will be 6, since there are 6 total, equal parts. In this case, think of the fraction as a distance traveled from 0 to 1 in 6 parts; the numerator is how far is traveled, and the denominator is the total travel distance. Point A is located at 1/6, since it is 1 out of the 6 pieces traveled. Point D would be at 5/6 because it has traveled 5 out of the 6 distances.

Point A is at  

✔ 1/6

Point  

✔ D

represents 5

6

Identify the pattern rule for this sequence: 2, 8, 7, 13, 12, 18, 17…

Answers

Answer:

you go up 6 then back down 1 then up 6 again and back down 1 again and repeat

Step-by-step explanation:

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