What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!

Answers

Answer 1

Answer:

(1,4)

Step-by-step explanation:

Hi there!

We're given the system:

y=3x+1

y=x+3

We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.

Let's start with x

Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)

3x+1=x+3

subtract 1 from both sides

3x=x+2

subtract x from both sides

2x=2

divide both sides by 2

x=1

we found the value of x

now we need to find the value of y

We do this by plugging x as 1 into either one of the equations to solve for y

let's use y=x+3 for example

substitute x as 1

y=1+3

add

y=4

we found the value of y.

Your question asks for the answer to be written as an ordered pair, which will be (1,4)

Hope this helps!

Answer 2

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 1 → (1)

y = x + 3 → (2)

Substitute y = 3x + 1 into (2)

3x + 1 = x + 3 ( subtract x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

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

Substituting into (2)

y = 1 + 3 = 4

solution is (1, 4 )


Related Questions

BRAINLIEST TO WHOEVER IS CORRECT!!!

Write an equation that represents the line.
Use exact numbers.


Answers

Answer:

y=[tex]-\frac{4}{3}[/tex]x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now

y=[tex]-\frac{4}{3}[/tex]x+2

I hope this helps you out!! Have an awesome day ^^

Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2

Answers

Answer:

8

Step-by-step explanation:

Given:

13 - 0.75w + 8x

where,

w = 12

x = 1/2

13 - 0.75w + 8x

Substitute the value of w and x into the equation

= 13 - 0.75(12) + 8(1/2)

= 13 - 9 + 8/2

= 13 - 9 + 4

= 8

Therefore,

13 - 0.75w + 8x = 8

Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52

Answers

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Which of the following is an arithmetic sequence?
O A. 1,3,9,27,..
O B. 1,0,1,0,1,0,...
O C. 800, 200, 50,...
O D. 10.7.4 1.-2...

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation: Hope this helps and gl :)

draw a graph for the equation above

Answers

Answer:

look at image given

Step-by-step explanation:

im assuming the -3 is seperate :p

algebra help please answer

Answers

Answer:

Answer is 1st and Last

Step-by-step explanation:

Because if you use logic you should know why

Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.





Which of the following is most likely to happen if another 200 guests spin the spinner?

Answers

ticket to future game

Step-by-step explanation:

it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .

help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

A, B, and, D

Step-by-step explanation:

I'm not 100% sure but i'm pretty sure these are it.

Hope thus helps!

harlie is a hotel manager. Their responsibilities include renting rooms for conferences. The hotel charges $250 per day plus $15 per person for the grand ballroom.
Create a formula for the cost, C, in dollars, to rent the ballroom for any number of people for 1 day.
Hint: Use C for cost and n for the number of people. C = ________


How much should Charlie charge to rent the hall for 50 people? What about 100 people?




Rearrange your formula to express n in terms of C (rewrite your formula to solve for n)


How many people could attend a wedding reception if the planners have a budget of:
$4000


$2000

Answers

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People

find the Hcf of 15 30 90​

Answers

Answer:

15=3*5

30=5*6

90=5*3*5*2*3

So, HCF=15

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

Hey there!

HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.

The given numbers are: 15,30,90.

15 = 3*5

30 = 2*3*5

90 = 2*3*3*5

Now, from the above solutions take all the common factors.

From the factors of all three numbers, 3*5 are common.

Therefore, the HCF of the numbers is 3*5 = 15.

Hope it helps!

Choose which group of measures would go along with the data set below.

11,13,11,9,8,4,7,7,11,9

1.
Range—4
Mode—8
Median—9
Mean—9


2.
Range—5
Mode—9
Median—7
Mean—7


3.
Range—9
Mode—11
Median—9
Mean—9
4.
Range—12
Mode—8
Median—9
Mean—9

Answers

3 because mode is 11 (11 is the number used the most) and the range is 9 (13-4=9)

does anyone know how to solve this?

Answers

Answer:

[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]

please help me out in this account question I have exams tomorrow I have linked the question here ​

Answers

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

What is the slope of the line with equation y−3=(x−2)?

A coordinate plane with a line passing through the points at (2, 3) and (4, 2).

–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2

Answers

I think the answer is -½

Explanation:

Answer:

B on edge 2021

Step-by-step explanation:

gregory wants to buy a new video game system priced at $179.00. if the sales tax is 6%, what is the total amount he will pay for the video game system

Answers

Answer:

$189.74

Step-by-step explanation:

Since the sales tax is 6%,

179x0.06=10.74

Add to the starting price, 179.00+10.74=189.74!

I hope this helped!

The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.

Answers

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your

answer to the nearest tenth.

B

50

F

D

41

HELP PLEASEEEE

Answers

Answer:

83.5units

Step-by-step explanation:

Find the diagram attached

Since both triangles are similar, then;

AB/DB = BC/EF

11/54 = 17/EF

Cross multiply

11EF = 17 * 54

11EF = 918

EF = 918/11

EF = 83.5

Hence the length of EF to the nearest tenth is 83.5units

Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5

Answers

Answer:

y = -1/2 x -5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

We know b

y = mx-5

Substitute the values of x and y into the equation to determine the slope

-2 = m(-6) -5

Add 5 to each side

-2+5 =-6m

3 = -6m

Divide by -6

3/-6 = m

The slope is -1/2

y = -1/2 x -5

Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...

Answers

Answer:

O B. 6, 13, 19, 24,

Step-by-step explanation:

because this is the correct answer

The answer would be D as it’s the only one with a scale factor which is multiplying by -1

The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?

Answers

Answer:

20/3

Step-by-step explanation:

The Other guy is wrong, this is the correct answer from Plato

The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.

In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.

Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3

Answer:

20/3 I mean imI'm doing it rn and..... the plug

Step-by-step explanation:

find the value of x, y, v and w​

Answers

Now,

x + 35° = 180° ( Co - interior angle )

x = 145°

Then,

y = x = 145° ( Vertically Opposite angle )

Again,

v + 43° = 180° ( Co - interior angle )

v = 137°

Then,

v + w = 180° (Co - interior angle )

137° + w = 180°

w = 180° - 137°

w = 43°

I hope it's help you...

Mark me as brainliest...

please answer this 2 question​

Answers

Answer:

Step-by-step explanation:

AP 1 : 12, 15 , 18 , 21, 24, 27, 30 , 33 , 36, 39,.....

AP 2 : 17 , 21 , 25 , 29, 33, 37 , 41, 45,.....

AP formed with the common terms:  21, 33, 45 , ......

a = 21 , d = 33-21 = 12 ; n = 100

Sum = [tex]\frac{n}{2}(2a +(n-1)d)[/tex]

       [tex]=\frac{100}{2}[2*21+99*12]\\\\=50 * [42+1188]\\\\=50*1230\\\\= 61500[/tex]

Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?

attached below is the options

this is worth 100 points

Answers

Step-by-step explanation:

the correct answer is

a. { ½(c-a), ½(d-b) }

________________

General formula

((x_1+x_2)/2,(y1+y2)/2)

So

Here

for (a,b) and (c,d)

Midpoint

((a+c)/2,(b+d)/2)

Option A

3a + b - 2 = b thank you

Answers

Answer:

Get rid of b:

3a+b-2=b

3a-2=0

3a=2

A=2/3

Simplify (5np3)3
Question shown as picture

Answers

Answer:

[tex]125 {n}^{3} {p}^{9} [/tex]

need help please! i’m stuck

Answers

Answer:

Step-by-step explanation:

stuck under the bed??

lemme jus quickly pull you back....lol

Instructions: Match each step with the correct ordered description for how to construct a copy of line

Answers

The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows

How to construct a line segment?

To construct a line segment, the correct matching of the steps are given below as follows:

Step one: Start with line segment PQ that we will copy.

Step two: Set the compass point on the point P of the line segment to be copied.

Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.

Step four:Mark a point R that will be one endpoint of the new line segment.

Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.

Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.

Step seven pick a point S on the arc that will be the other endpoint of the new line segment.

Step eight: Draw a line from R to S.

Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.

Learn more about line segments here:

https://brainly.com/question/24778489

#SPJ1

20% of 2kg ( in g).
Please help

Answers

Answer:

[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]

Answer:

400 g

Step-by-step explanation:

0.20 x 2 kg = 0.4 kg

0.4 kg x (1000g / 1kg) = 400 g

I kinda need help

What is the fraction 1/4 in decimal form?


I need help with this one to

Solve 3^3

Answers

Answer: easy

Step-by-step explanation: 0.25 there

convert 25meter square into centimeter square

Answers

Answer:

250,000 cm squared

Step-by-step explanation:

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