you must use substitution method
x+y=7
2x+y=10

Answers

Answer 1

Answer:

x = 3, y = 4

Step-by-step explanation:

First, set the first equation equal to x. Note the equal sign, what you do to one side, you do to the other.

Subtract y from both sides of the equation:

x + y = 7

x + y (-y) = 7 (-y)

x = 7 - y

Next, plug in 7 - y for x in the second equation:

2x + y = 10

2(7 - y) + y = 10

Simplify. First, distribute 2 to all terms within the parenthesis:

2(7 - y) = (2 * 7) + (2 * -y) = 14 - 2y

Next, combine like terms. Like terms are terms with the same amount of the same variables:

14 - 2y + y = 10

14 (-2y + y) = 10

14 - y = 10

Isolate the variable, y. First, subtract 14 from both sides of the equation:

-y + 14 (-14) = 10 (-14)

-y = 10 - 14

-y = -4

Next, isolate the variable, y, by dividing -1 from both sides of the equation:

(-y)/-1 = (-4)/-1

y = -4/-1 = 4

Next, plug in 4 for y in one fo the given equations:

x + y = 7

x + (4) = 7

Isolate the variable, x. Subtract 4 from both sides of the equation:

x + 4 (-4) = 7 (-4)

x = 7 - 4

x = 3

x = 3, y = 4


Related Questions

A jar contains 6 red marbles, numbered 1 to 6, and 10 blue marbles numbered 1 to 10.

Answers

Answer:

it's 23

Step-by-step explanation:

because its 23

A CAR DEALER PAID A CERTAIN PRICE FOR A CAR AND MARKED IT UP BY 7/5 OF THE PRICE HE PAID. LATER HE SOLD IT FOR 24,000. WHAT IS THE ORIGINAL PRICE

Answers

Answer:

17142.85

Step-by-step explanation:

24000÷7=3428.57

3428.57×5=17142.85

12 - 8g = -92 show work

Answers

Answer:

g = -13 (steps below in the attached picture)

Step-by-step explanation:

omg i asked alot help

Answers

Answer:

The answer is -2.25

Answer:

-2.25

Step-by-step explanation:

1. Between each integer, there are four sections. That means that each section is 1/4, or 0.25

2. Starting at -2, we're going to the left by 0.25 to point B. This can be written as an equation of: [tex]-2 - 0.25 = B[/tex]

3. Now, since -2.25 is the result when subtracting 0.25 from -2, -2.25 is the decimal value positioned at point B.

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

In the picture above

.......

Answer:

f(0) = 0x (0, 0)

f(1) = 2 (1, 2)

f(2) = 4 (2, 4)

You better pay out with them brainliests................

In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and with probability .9999999 one wins nothing ($0). Let Y denote the winnings from buying one ticket. Construct the probability distribution for Y. Show that the mean of the distribution equals .10, corresponding to an expected return of 10 cents for the dollar paid.

Answers

Using the expected value, it is found that the mean of the distribution equals $0.1.

The expected value, which is the mean of the distribution, is given by each outcome multiplied by it's probability.

The probabilities of each outcome are:

.0000001 probability of earning $1,000,000..9999999 probability of earning $0.

Thus, the mean is given by:

[tex]E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1[/tex]

Thus showing that the expected value is $0.1.

A similar problem is given at https://brainly.com/question/24855677

help please! (branliest

Answers

5x-2+x=9+3x+106x-2=3x+196x-3x=19+23x=21x=7

Answer:

[tex]\rm x=7[/tex]

Step-by-step explanation:

Given equation:

[tex]\rm 5x-2+x=9+3x+10[/tex]

Collect like terms:

[tex]\implies \rm 5x+x-2=3x+10+9[/tex]

Combine like terms:

[tex]\implies \rm 6x-2=3x+19[/tex]

Add 2 to both sides:

[tex]\rm \implies 6x-2+2=3x+19+2[/tex]

[tex]\rm \implies 6x=3x+21[/tex]

Subtract 3x from both sides:

[tex]\rm \implies 6x-3x=3x+21-3x[/tex]

[tex]\implies \rm 3x=21[/tex]

Divide both sides by 3:

[tex]\implies \rm 3x \div 3=21 \div 3[/tex]

[tex]\implies \rm x=7[/tex]

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 29 minutes​? In 1 hour​?

Answers

Answer:

21.75 Miles

Step-by-step explanation:

s = d / t

d = s * t

s = 1.75 miles / 2.33333333 minutes

s = 0.75 mile/min

d = 0.75 mile/min * 29 minutes = 21.75 miles

The scale on a map says that 6cm represents 8km What is the actual number of kilometers that is represented by 8cm

Answers

If a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.

Given the following:

Scale of map: 6 cm represents 8 km

Required:

Actual distance that 8 cm on the map represents.

We would apply our knowledge of proportion to solve this problem as follows:

Let x represent the actual distance we are looking.

Thus, the following proportion can be made:

6 cm = 8 km

8 cm = x km

Cross multiply

[tex]x = \frac{8 \times 8}{6} \\\\x = 10.7 $ km[/tex]

Therefore, if a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.

Learn more here:

https://brainly.com/question/1284295

evelin had 1/4 of piece of choclate leftover. she wanted to share it which n other people. if each other person got 1/12 of a piece of choclate, how many people did she share with ?

Answers

Answer:

2 other people.

Step-by-step explanation:

First, find a common denominator. Note that what you do to the denominator, you must do to the numerator:

[tex]\frac{1}{4} * \frac{3}{3} = \frac{3}{12}[/tex]

Each other person implies that she will reserve a piece of chocolate for herself, so you will subtract 1:

[tex]\frac{3}{12} - \frac{1}{12} = \frac{2}{12}[/tex]

She will share with 2 other people.

~

Factor the expression using the common factor −6 . −12x−18y−3.6 Drag a value or operation/sign to the boxes to correctly factor the linear expression.

Answers

Answer: 2 2 3 4 5

Step-by-step explanation:

Answer:

Hello I took the test the answer is -6(2x+3y+0.6)

Step-by-step explanation:

here's proof from k12 hope this helps

BRAINLIEST TO CORRECT

Answers

Answer: I think possible answers  D

Step-by-step explanation:

Change $35,000 per year to dollars per hour
25

Answers

If you make $35,000 per year, your hourly salary would be $17.95

Help help please almost 4 more questions

Answers

Answer:

3^2=9

Step-by-step explanation:

please mark me as brainlest

Given: If X, then not Y. If not Y, then Z. Y is true. So:

Answers

Answer:

X is true

Step-by-step explanation:

X is true it’s kinda hard to explain but it’s X

A spinner has regions numbered 1 through 15. What is the probability that the
spinner will stop on an even number or a multiple of 3?

Answers

Answer:

41

Step-by-step explanation:

i did it before kwndjejfjfjf

Answer:

2/3 or 66.66%

Step-by-step explanation:

Even numbers:

2, 4, 6, 8, 10, 12, 14

Multiples of 3:

3, 6, 9, 12, 15

Total number of even numbers or multiples of 3 discounting repeats is 10.

Required probability is:

P = 10/15 = 2/3 or 66.66%

using a number line. Which is closer to one, 7/8 or 8/7
-Explain without converting to decimals or using common denominators.

Answers

Answer:

Both are the same because 7/8 is 1/8 away from 1, and 8/7 is one away from 1

Step-by-step explanation:

In 2017, the top-selling frozen pizza brands, DiGiorno and Red Baron, together had sales of $1586.9 million. Red Baron’s sales were $442.3 million less than DiGiorno’s. What were sales in millions for each brand?

Answers

Subtract and u should get the correct answer and have the correct units

1. Given the angle measurements,
what is the value of x?
с
X + 42°
60°
40°
00
A

Answers

Answer:

Please clarifly your question.

Step-by-step explanation:

What angle measurements are given? Are the numbers following it multiple choice? There isn't enough information.

Answer:

38°

Step-by-step explanation:

If supplementary -

180 = 60 + 40 + (x+42)

80 = x+42

x = 38

Nadia entered a spelling contest. In the first round, a total of 1,036 words were spelled correctly. Each contestant spelled 37 words correctly. How many contestants were in the first round?

Answers

Answer: 28

Step-by-step explanation:

You have to do 1036 divided by 37.

Rory is traveling from Canada to England. The current exchange rate is 1 Canadian
dollar is equal to 0.57 pounds. How many pounds will he have if he converts 1,500
Canadian dollars to pounds?1,335 pounds
1,500 pounds
855 pounds
2,632 pounds

Answers

Answer:

C) 855 pounds

Step-by-step explanation:

1,500 Canadian dollars x 0.57 = 855 pounds

I need help I don’t get it I can’t get past this

Answers

Answer:

S is the correct answer If it needs to be in alphabetical order.

Step-by-step explanation:

(If not then it could be either S or V)

Answer:

s

Step-by-step explanation:

[tex]s = \frac{t}{v} \\[/tex]

Multiply both sides by v,

s · v = [tex]\frac{t}{v}[/tex] · [tex]\frac{v}{1}[/tex]

The v[tex]s[/tex] on the right hand side cancel each othter out and we are left with

s·v = t

Which is the same thing as,

t = s · v

3 2/15 + 2 3/15
what is the sum​

Answers

Answer:

5 1/3

Step-by-step explanation:

3 + 2 = 5

2 + 3 = 5

5 5/15

5 1/3 simplified

Answer:

5 5/15

Step-by-step explanation:

2/15 + 3/15 = 5/15 which is less than one whole. Then 3 + 2 = 5. 5 + 5/15 = 5 5/15

A cyclist rides his bike at a speed of 36 miles per hour. What is this speed in feet per second? How many feet will the cyclist
travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round

Answers

Answer:

46

Step-by-step explanation:

because if you add 36+10 it will give you 46 i think im right i dont really know

Every winter, the math club sells cookie dough to raise money. Last year, they sold 2,400 pounds of cookie dough to 600 people. This year, they predict that they will sell cookie dough to between 730 and 770 people. About how many pounds of cookie dough will they need?
A.
4,500
B.
3,000
C.
6,000
D.
1,500

Answers

B. 3000 is the answer because 2400/600 = 4 and the number between 730 and 770 is 750 so 750 * 4 would equal 3000 It is B

17. The sum of a three-digit number
and a one-digit number is 642.
The product of the numbers is
5,072. What are the numbers?

Answers

Answer: 2  and 321 or  3  and 214

Step-by-step explanation:

One number is between 200-225.

Now, back up just a bit.  The product of the two numbers is 642.  Product comes from multiplying the two numbers.  So, if we divide 642 by the number that is between 200-225, we will get the other number.

 So, divide 200 into 642 and get 3 with a remainder of 42

     divide 225 into 642 and get 2 with a remainder of 192

This means that the other number must be either 2 or 3.  (note: this is because dividing by 200 gives the biggest value it could be and dividing by 225 gives the lowest value it could be -- think about sharing a bag of candy, dividing it between 2 friends gets each person the most candy and dividing it between more friends (3) gives each person less candy).

Well. if the other number is either 2 or 3, and the product of the two numbers is 642, the numbers must be either: 2  and 321 or  3  and 214

5.
Chet rents a car for a month. It costs a $260 fixed charge to rent the car for one month and $8 for every
100 miles driven in it. Chet drove 3,000 miles in the rental car. What was his total bill for the car?
A. $ 270
B. $ 287
C. $ 500
0BB
D. $2,700
E. $2,960

Answers

Answer:

d

Step-by-step explanation:

1 eat

2 eat

3 eat

What type of partnership is characterized by the limited liability of all partners?

Answers

The type of partnership that is characterized by the limited liability of all partners is the limited liability partnership.

A limited liability partnership has a statutory fund divided into shares, the size of which is determined by the statutory documents, and is liable for obligations only within the limits of its contribution.

The supreme governing body is the Board of Directors. When resolving issues at a meeting of participants, the number of votes is determined in proportion to the size of each participant's share in the statutory fund.  

Learn more in https://brainly.com/question/7302239

Answer:

Here are ALL of the answers to this quick check.

Step-by-step explanation:

1. limited liability partnership

2. Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

3. Jonah signs a purchase agreement with a supplier while Jaycee agrees to hire a marketing firm to drum up business.

4. When Jonathan and his friend pool their resources, the business will likely grow faster than it otherwise would; however, Jonathan will lose some of the control over decision-making that he currently enjoys.

5. partners usually draw up legal papers called articles of partnership.

partners usually draw up legal papers called articles of partnership.

I just took this and got 5/5 hope this helps :)

Answer This 20 Point Question And I Will Thank And Rate U 5.0 And Brainlist U Please Answer Thanky You :D.

Answers

Answer:

1i : 0

1ii : 1

1iii : -1

1iv : 1

1v : 1

2i : -1

2ii : -13

2iii : -29

3i : -9

3ii : 3

3iii : 0

3iv : 1

4i : 8

4ii : 4

4iii : 0

5i : -3

5ii : 2

5iii : 0

5iv : 2

6i : -39

6ii : 15

6iii : 0

6iv : answering only the circled part : 12

7i : 10

7ii : -6

7iii : 11

7iv : 22

7v : -8

8i : 1000

8ii : -180

9 : -5

10 : 38

Answer:

1. (i) m - 2 = 2 - 2 = 0

1. (i) 3m - 5 = 3(2) - 5 = 6 - 5 = 1

1. (ii) 9 - 5m = 9 - 5(2) = 9 - 10 = – 1

1. (iii) 3m² - 2m - 7 = 3(2)² - 2(2) - 7 = 3(4) - 4 - 7 = 12 - 11 = 1

[tex]1.(iv) \: \frac{5m}{2} - 4 = \frac{5(2)}{2} - 4 = \frac{10}{2} - 4 = 5 - 4 = 1[/tex]

__o__o__

2. (i) 4p +7 = 4(-2) + 7 = -8+7= – 1

2. (ii) -3p² + 4p+7 = -3(-2)² + 4(-2) + 7 = -3(4) -8+7 = -12-8+7 = -20 +7 = – 13

2. (iii) -2p³-3p²+4p+7 = -2(-2)³ - 3(-2)² +4(-2) +7 = -2(-8) -3(4) -8 = 16-12-8=16-20= – 4

__o__o__

3. (i) 2x -7 =2(-1)-7= - 2 -7 = – 9

3. (ii) -x+2 = -(-1)+2= 1+2 =3

3. (iii) x²+2x+1 = (-1)²+2(-1)+1 =1 -2+1=2-2=0

3. (iv) 2x²-x-2= 2(-1)²-(-1)-2=2+1-2= 1

__o__o__

4. (i) a²+b² = (2)²+(-2)² =4+4= 8

4. (ii) a²+ab+b² = (2)²+(2)(-2)+(2)²= 4 -4+4= 4

4. (iii) a²-b² = (2)² - (-2)² = 4 - 4 = 0

__o__o__

5. (i) 2a+2b = 2(0)+2(-1) = 0-2 = - 2

5. (ii) 2a² +b²+1 = 2(0)² + (-1)² +1 = 0+1+1 = 2

5. (iii) 2a²b+2ab²+ab = 2(0)²(-1) + 2(0)(-1)²+(0)(-1) = 0

5. (iv) a²+ab+2 = (0)²+(0)(-1)+2 = 2

__o__o__

6. (i) x+7+4(x-5) = x + 7 + 4x - 20 = 5x - 13 = 5(2) - 13 = 10 - 13 = - 3

6. (ii) 3(x+2)+5x-7 = 3x +6+5x -7 = 8x -1 = 8(2) -1 = 16 - 1 = 15

6. (iii) 6x+5(x-2) = 6x +5x -10 = 11x - 10 = 11(2)-10 = 22 - 10 = 12

6. (iv) 4(2x-1)+3x+11 = 8x - 4 +3x+11 = 11x + 7 = 11(2)+7 = 22+7 = 29

__o__o__

7. (i) 3x-5-x+9 = 2x + 4 = 2(3) +4 = 6+4=10

7. (ii) 2-8x+4x+4 = – 4x + 6 = - 4(3) +6= - 12+6= – 6

7. (iii) 3a+5-8a+1 = – 5a +6= - 5(-1) +6= 5+6=11

7. (iv) 10 -3b-4-5b = - 8b + 6 = -8(-2)+6= 16 +6 = 22

7. (v) 2a-2b-4-5+a = 3a -2b - 9 = 3(-1) - 2(-2) - 9 = - 3 + 4 -9 = - 12 +4 = – 8

__o__o__

8. (i) z³ - 3 (z-10) = (10)³ - 3(10-10) = 1000 - 3(0) = 1000

8. (ii) p²-2p-100 = (-10)² - 2(-10) -100 = 100 + 20 -100 = 20

__o__o__

9. 2x² +x - a = 5 ==> 2(0)² +(0)- a = 5 ==> 0 - a = 5 ==> -a=5 ==> a = – 5

___o__o__

10. 2(a²+ab)+3-ab ==> 2a² + 2ab +3 - ab ==> 2a² + ab +3 ==> 2(5)²+ (5)(-3) +3 = 2(25)- 15 +3 = 50-15+3 = 53-15 = 38

I hope I helped you^_^

What is 12 as an integer

Answers

Answer:

positive integer

on right side of 0

Answer:

12 is a positive integer, you can also write it as +12.

Step-by-step explanation:

even if there is no + sign on the 12 it is still considered as a positive number,

therefore, 12 can be written as +12 as an integer.

it is up to u if u write 12 like this: +12 or like this: 12

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