solve the system of linear equations by substitution.
x + 4y = 6
x - y = 1

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Use the second equation to write an expression for x:

  x = 1 +y

Substitute that into the first equation:

  (1 +y) +4y = 6

  5y = 5 . . . . . . . . subtract 1, collect terms

  y = 1 . . . . . . . divide by 5

  x = 1 +1 = 2 . . . use the expression for x to find x from y

The solution is (x, y) = (2, 1).


Related Questions

A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.

Answers

Answer:

and what are the numbers there bud

Answer:

Please show the table I cannot help with no info!

Step-by-step explanation:

ASAP help me please!!!!!!!!!

Answers

Answer:

c would be your answer:)

Answer:

D. x=-2

Step-by-step explanation:

Pluggy chuggy those answer choices and -2 is the only one that works. The rest of the answer choices are extraneous. Therefore the answer is -2 and can not be infinitely many solutions since B and C do not work.

To make rice, you mix 1.5 cups of water for every 1 cup of dry rice. This will make 2 servings. How many cups of dry rice and how many cups of water will you need to serve 10 people?

Answers

Answer:

7.5 cups of water

5 cups of dry rice

Step-by-step explanation:

In total 1.5 water and 1 cup rice will equal 2 servings. If you are serving 10 people, you need to multiply each by 5.

1, 2 after a reflection y = 0 followed by a reflection y = 2

Answers

Answer: ahhhhhummm I think it’s 5

Step-by-step explanation:

Answer:

(1,6)

Step-by-step explanation:

First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)

Work out the multiplier as a decimal number for an increase of 5% followed by an increase of 3%

Answers

Answer:

8% multiped by what ever the decimal is

Step-by-step explanation:

5% + 3% = 8%

A video game has the following formula: For every 1,333 in attack power, you gain 3 levels. You get one bonus star per every 38 levels completed. If a player has an attack power of 0.21 million, how many bonus stars could they get? Round to a whole number.

Answers

Answer:

Rounded to a whole number, the player has 12 bonus stars.

Step-by-step explanation:

Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :

0.21 million = 210,000

210,000 / 1,333 x 3 = Levels

472.6 = Levels

Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:

472.6 / 38 = X

12.43 = X

Thus, rounded to a whole number, the player has 12 bonus stars.

Find the sum of the interior angle measures of a regular polygon
with 17 sides

Answers

Answer:

2700

Step-by-step explanation:

the formula is (n - 2) 180

Write the number to least to greatest

Answers

Answer:

C

Step-by-step explanation:

4/15 is 2.66666 which makes it the larges putting it last

everything else is self explanitory

A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?

Answers

Answer:

$35.7

Step-by-step explanation:

you can convert 15% to a decimal by dividing by 100.

15/100 = .15

if you multiply the decimal by the cost of the shirt you get how much the discount is.

0.15 * $42 = 6.30

so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.

$42 - $6.30 = $35.70 that is the sale price of the shirt.

Answer:

$35.7

Step-by-step explanation:

If a rectangular prism has a length width and height of 38 cm 58 cm in 78 cm respectively in the volume of the prism is blank cubic centimeterk

Answers

Answer:

7 but not sure

Step-by-step explanation:

2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t.

B. After how many seconds does the object momentarily come to rest and then change directions?​

Answers

Answer:

t = 3.7 seconds

Step-by-step explanation:

Linear Modeling

The velocity of an object is modeled by the function

v(t) = -78.4t + 288

Where v is expressed in m/s and t is expressed in seconds.

The velocity is a vector, therefore its sign indicates its direction. If the object is at rest, then its velocity has a magnitude of zero.

To find when the object comes to rest, we set the velocity to 0:

-78.4t + 288 = 0

Now solve for t. Subtracting 288:

-78.4t = -288

Dividing by -78.4:

t = -288 / -78.4

t = 3.7 seconds

Which ordered pair would form a proportional relationship with the point graphed below?
100 iv
90
8 8 8 8 8 8 3 8
45, 30)
10 20 30 40 50 60 70 80 90
X
(10. 10)
(25, 35)
(70.50
(90.60)

Answers

(90.60)
This is the answer because i calculated it:) hope this helps!

David earns a 4% commission for all the furniture he sells if David receives 7500 in commission this year what is the dollar amount of his sales

Answers

Answer:

$187,500

Step-by-step explanation:

Answer:

$187,500, but I could be wrong.

Step-by-step explanation:

7500=0.04x

A triangle has side length of 2x, 3x-1, 4x +8 find the expression for the perimeter​

Answers

Answer: 2x+3x-1+4x+8

A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function When is the soccer ball moving through the air? {t | –2 < t < 2} {t | –4 < t < 4} {t | 0 < t < 2} {t | 0 < t < 4}

Answers

Answer:3rd one

Step-by-step explanation: Took the test

Answer:

answer is C. {t | 0 < t < 2}

Step-by-step explanation:

No cappin need help thx

Answers

Answer:

20 %

Step-by-step explanation:

Percentage = [tex]\frac{2}{10}*100[/tex]

                   = 2 * 10

                   = 20%

Please help last question

Answers

Answer:

1/3x

The point (135,45) as well as all other listed points falls on the line 1/3x=y

Hope this helps! :)

what is the answer ​

Answers

6576576576576475463543543653 is the answer:)

Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she receive. Assume there are no tax sales

Answers

Answer:

Jenny will receive $12.51 in change.

Step-by-step explanation:

We need to find the total cost first.

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars she gave to get the amount of change she receives.

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

hope this helped!  

Jenny will receive $12.51 in change.

We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.

We need to find the total cost first.

What is the total cost?

Total cost=price of pants +price of shirt

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars

She gave to get the amount of change she receives.

So we have to subtract the total cost from 40 so we get,

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

To learn more about the cost visit:

https://brainly.com/question/25109150

Translate this phrase into an algebraic expression.
10 more than twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

n x 2 + 10

Step-by-step explanation:

All you need to do is apply this say to a number like 10 for ex: 10 x 2 + 10

= 20 + 10

= 30

Now do the same with n!

n x 2 + 10 and there is your answer!

Write 4% as a fraction. There is no need to simplify, your answer.

Answers

Answer:

4/100

Step-by-step explanation:

% or per cent means "in a hundred"

30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease

If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.

Group of answer choices

True

False

Answers

Answer:

u said 30 points

Step-by-step explanation:

Answer:

a) increase

b) true

Step-by-step explanation:

Hope this helps plz hit the crown:D

we have 60,30,9,42- ?​

Answers

Answer:

What’s the freaking question G ??!?

What are you trying to subtract?

Help please geometry 10 points

Answers

Answer:

15) LKJ congruent YZX 16) VXW Congruent PRQ

Step-by-step explanation:

This is the answer

WILL GIVE BRAINLIEST FOR EXPLANATION!!!!!! AND ANSWER!
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?

Answers

Answer:

you cant give brainliest you have to earn it

Answer:

The graph will be flipped and move 3 units to the left

Step-by-step explanation:

Parent function: f(x) = x^4

Graph: g(x) = −(x + 3)^4

Compared to the parent function, g(x) will be flipped because of the negative coefficient and move 3 units to the left because of (x+3).

Which of these can help you become a better test-taker?
A. Knowing that there are different strategies for different types of
tests
B. Being able to skim through large amounts of reading
c. Understanding how to use an outline to take organized notes
D. Taking tests only during the time of day when your mind is most
active

Answers

Personally I would say C because when you take good notes you can go over what you don’t remember. You can also use your notes as a study guide.

Answer:

c

Step-by-step explanation:

transformation mystery picture​

Answers

Answer:

1  9

6  -2

-12  10

4  3

9  -5

3  -8

-4  6

-4  -3

-1  2

2  7

-18  -15

6  -3

-7  -6

-2  21

-5  5

2  2

Step-by-step explanation:

0.142857143 as a fraction

Answers

Answer:

14287143/1000000000 :)

Step-by-step explanation:

Answer:

142857143 / 1000000000

Step-by-step explanation:

The model shows the expression 219 Which expression is equivalent to this sum? O 3(7+3) O 307)+ 3 O 3+7+3 O 7(3+3) Mark this and retum Me​

Answers

Answer:

a

Step-by-step explanation:

I need some help graphing this

Answers

Answer:

1.512445e+216

Step-by-step explanation:

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