solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5

Answers

Answer 1

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

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

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )


Related Questions

If you spin the following spinner, what is the probability that you will land on red or green?

Answers

Answer:

2/5

Step-by-step explanation:

The answer is 1/5! :)

Evaluate the following expression for m = 4.
4m + 2
please provide a step by step explanation (:

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]

[tex]\sqrt{16} =4[/tex]

[tex]4 + 2 = 6[/tex]

Answer:

C. 6

Step-by-step explanation:

[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]

A warehouse has a height of 8 2/10 ​ meters, length of 120 meters, and width of 20 3/10 ​ meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest

Answers

Answer:

59×695÷500×56677×6626

Simplify 12x6 y7 18 x3y5.

Answers

Answer:

216x^9y^12

Step-by-step explanation:

Determine the value of the indicated term.

a1 = -4, d=4

Determine the 15th term

Answers

Answer:

52

Step-by-step explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52

Answer:

The 15th term = 52

Step-by-step explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Plz hurry find the surface area and volume to the nearest whole number

Answers

Answer:

87.96 or 88 - surface area

62.83 or 63 - volume

Step-by-step explanation:

Answer:

Surface area: 89 yd

Volume = 63 yd

Step-by-step explanation:

Surface area:

A=2πrh+2πr^2

=2·π·2·5+2·π·2^2

=87.96459

Volume:

V=πr2h

=π·22·5

=62.83185

2
Which point on this number line best represents 10?
point A
point B
point C point D

Answers

I would say c because

Answer:

probably 5 because thats half of 10 i guess

Step-by-step explanation:

1. Which of the angles below are supplementary?

Answers

Answer:

<3 and <4

Step-by-step explanation:

In a bag of plain M and M's Yellow 20% red 20% orange 10% blue 10% green 10% brown 30%
Three M and M's are chosen give the probabilities

1. none are red
2. The third one is the first one that is yellow.​

Answers

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Jessica’s bill last month was $77.00. Use the equation you wrote in Exercise 3 to find the number of text messages Jessica sent last month. Show your work. 19 POINTZZZZ

Answers

You didn’t provide the equation.

In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked from this group at random is either a junior or female.
a) 90/101
b) 22/101
c) 68/101
d) 40/101 ​

Answers

I think it might be d

Answer:

I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101

Use the distributive property to expand the following expression.
-2 (2.1x + 3y - 1.8)

Answers

Answer:

- 4.2x - 6y + 3.6

Step-by-step explanation:

- 2(2.1x + 3y - 1.8)

- 4.2x - 6y + 3.6

Answer:

-4.2x+6y-2.16

Step-by-step explanation:

multiply everything by -2

Find the total surface area of the pyramid.
4 in.
6 in.
6 in.

Answers

Answer:96

Step-by-step explanation:

Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS

Simplify this expression to standard form: -3(2x -4) - 2

Answers

-6x + 10
good luck :)

Answer:

−6x + 10

Step-by-step explanation:

- (−3) (2x) + (−3) (−4) + −2

-  −6x + 12 + −2

- (−6x) + (12 + −2)

= −6x + 10

Can someone please help me with math.

Answers

The answer is going to be A. as the age increases the amount of tc watched increases as well

Answer:

A

Step-by-step explanation:

from age 5 to age 15 the number of hourse watched goes up and so on

A square room has a perimeter of 40 feet. What is the area of the room?

Answers

Answer:

100 ft²

Step-by-step explanation:

There are 4 congruent sides in a square

Perimeter = 4x

40 = 4x

x = 10

Area = base x height or length x width

Since all sides are the same, 10 is base and height

10x10 = 100

units = ft²

Answer = 100 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

100 feet (I forget area units so there might be an exponent or something)

Step-by-step explanation:

Basically, the formula for perimeter is the sum of all sides. With area, you are just multiplying length times width. With a square, all of the sides are equal, and there are four sides. 40/4=10. So, each side is 10 feet. With that, you can multiply 10*10 and get 100!

Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set

Answers

Answer:

Extrapolation, because a key that is 12 keys from middle c is outside the data set.

Step-by-step explanation:

Given

See attachment for the data set

Required

Which option answers the question

From the attached dataset, we can see that 12 is not within the range of the data set.

When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.

Hence, (d) is correct

Answer:

d

Step-by-step explanation:

trust me

Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?

Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

Find x if (3⋅5)⁴ ⋅ (2⋅3)⁵ ⋅ (2⋅5)⁷ = 2ˣ ⋅ 3ʸ ⋅ 5ᶻ

Answers

x = 12
y = 9
z = 11
good luck :))

A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.

Answers

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

60 out of 1240 fruit trees are poisonous. What percent of trees are poisoned? Round to the nearest tenth.

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8%

Step-by-step explanation:

to do this create a ratio and cross-multiply

[tex]\frac{60}{1240} = \frac{x}{100}[/tex]

now that we have a our ratio, where x = the percent of poisonous trees, we can cross-multiply and solve to find its value

cross-multiplying leaves you with

[tex]1240x=6000[/tex]

now solve for x, dividing both sides of your equation by 1240

once you've divided, you should be left with

[tex]4.8[/tex]

since this number is already out of 100, it is equivalent to your percent, so slap a percent sign on the end and you're done!

Simplify -8+4(-3)/5

A.) -4
B.) 4
C.) -4/5

Answers

c.) -4/5 because you simplify the top

Which table represents a nonlinear function? pls hurry

Answers

Answer:

1st one

Step-by-step explanation:

Linear means straight and when you graph this one it is a straight line

Help, Perhaps? this one has me kinda stumped, i know its prob easy, im just not to big brain rn lol :Sweat_emoji:

Answers

Answer:

Step-by-step explanation:

g

Answer: G

Step-by-step explanation: hope this helps!

What is the area of the triangle shown?

Answers

If we multiply the two numbers on the diagonal line, 10x24 we get 240 so the answer is 240 for area

Answer:

Hello! answer: 120

Step-by-step explanation:

Formula for triangle area:

base × height ÷ 2

24 × 10 = 240 240 ÷ 2 = 120 therefore the area is 120 Hope that helps!

Find the surface area of the prism.

Answers

Answer:

792 feet

Step-by-step explanation:

based on my calculations this is the answers.

792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.

1. Find the measure of arc ABC
please show ur work

Answers

Is there arc length or may be radius

How many degrees are in a third of a full turn?

Answers

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

A jar contains 7 red marbles, 9 blue marbles and 3 green marbles. Christopher wins if he picks a blue marble and Janet wins if she picks a red marble. Is this game fair? Why or why not?

No, the game is not fair because Christopher has a higher probability of winning than Janet.

Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.

No, the game is not fair because Janet has a higher probability of winning than Christopher.

Yes, the game is fair because Christopher and Janet have an equal probability of winning.

Answers

Answer:

No, the game is not fair because Christopher has a higher probability of winning than Janet.

Step-by-step explanation:

christopher's probability: 9/19

janet probability: 7/19

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

A, B, and C. Not D.

Step-by-step explanation:

He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.

Other Questions
Requiring managers to prepare the budgets from scratch or zero-base may help them to overcome the problem of: What Is the location of the instructions that code for traits? Find the equation of the straight line which passes through (3,5) and makes y-inter-intercept. using substitution x+3y=33y-2x=12 Which statement best describes the main idea of a text?A. It gives readers information about a topic.B. It is what the author wants readers to remember.c. It supports the author's message.D. It gives readers ideas about where to find new information. Which angles are supplementary angles? A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.The bulder needs to cut ? Inches off the block of wood. 1 Qu es importante hacer en la escuela? (3 actividades)2 Qu hiciste el fin de semana? (3 actividades)?3 Qu NO jugabas cuando eras pequeo(a)? USE: ni.ni)4 Cul comida Hispana te provoca comer? Y... Por qu? 5 Qu haces despus de la escuela? Please use complete sentences, past tense, and conjugate when needed the sum of two numbers is 8. the sum of the squares of the same two numbers is 40. what are the numbers? Item 2Which statement about the differing economic ideologies of the United States and the Soviet Union during the Cold War is true?The economic system was based on collectivism in the United States, while the economy was based on the individual in the Soviet Union.The free enterprise system was the basis of the United States economy, while a command economy was the basis of the Soviet system.The government controlled industry and business in the United States, while private ownership was key in the Soviet Union.Karl Marxs economic philosophy was the basis of the United States system, while John Maynard Keyness ideas formed the basis for the Soviet system. solve for the value of w a cylindrical jar of jam has a diameter of 6cm and a height of 8 cm. if the jar is 70% full of jam how many cubic centimeters of jam are in the jar? Please answer correctly how do you do this please What is the image point of (8, 4) after a translation left 2 units and down 4 units? What was the main goal of the Congress of Vienna in 1815? lol can anyone help me asap HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP What are 10 organisms that would be found in an ecosystem Who led California grape pickers in a strike to create safer workingconditions, increase pay, and make healthcare more affordable? Here is the question: "If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?"Answers:A. 55 cubic ftB. 90 cubic ftC. 28 cubic ftD. 75 cubic ft