Mathematics High School

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

X+y=4

{

X-y=2

Answers

Answer 1

Answer:

The solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+y=4[/tex]

[tex]x-y=2[/tex]

solving the system of the equations

[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=4}[/tex]

[tex]-2y=-2[/tex]

solving

[tex]-2y=-2[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]

[tex]x+1=4[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Related Questions

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?

Answers

Answer:

the first graph is the answer

Step-by-step explanation:

A!!!

Answer:

A

Step-by-step explanation:

solve for w and simplify the answer

Answers

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answers

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

Find the distance between A and B

Answers

Answer:

The distance between A and B is 2.6

Step-by-step explanation:

We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.

I hope this helped and if it did I would appreciate it if you marked me brainliest, thank you and have a nice

day

Answer:

27 cm or 2in and 6cm!

Step-by-step explanation:

count the lines.

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Can someone help me with the questions in the picture?

Answers

Answer:

25) B obtuse scalene

26) A acute isosceles

27) A acute isosceles

28) D obtuse isosceles

29) D right scalene

30) C obtuse isosceles

31) C obtuse scalene

32) C acute scalene

Step-by-step explanation:

A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.

An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.

Hope this helps :)

Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

The y-intercept is the value when x=0. The x-intercept of 3 corresponds to y=0, and the point on the line is (3,0). The y-intercept of 4 corresponds to x=0, and the point on the line is (0,4). ... Now that we have the slope, we can write the equation for the line in point-slope form. One quick way to do this is to use the fact that
3
⋅
4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4
−
0
0
−
3
=
−
4
3
so that the equation has the form
y
=
−
4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=
−
4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.

4x = 7 [x3] help meh

Answers

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

Which graph represents a function?

Answers

this one bc there’s one point vertically and there’s no more than one point when you draw a vertical line down

A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Riding an elevator down 3 floors

Answers

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?

Answers

Answer:

5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5

Answer:

5 gallons.

Step-by-step explanation:

two gallons=$5.40

? gallons=$13.50

you cross multiply

2 × $13.50÷$5.40

27÷5.40=5 gallons

???? If you know it, put it down below :)) thanks!

Answers

Answer:

66

Step-by-step explanation:

Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?

Answers

Answer:

Yes , Avery is correct

Step-by-step explanation:

To check if Avery is correct, we need to know the exact value obtained in each of their goals

For Avery’s team;

3/5 * 450 = $270

For Nolan’s team

5/9 * 450 = $250

Since $270 is greater than $250, we can see that Avery’s team collected more money

Massimo has $57 in his savings account. Every time he rides the bus he spends $3. Write an equation that Massimo
can use to see how many times he can ride the bus.

Answers

Step-by-step explanation:

I think is 19 because it say that he spends

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

What are the two methods of finding unit rate

Answers

Answer:

The Packing Cube method and something else I cant remember it.

Step-by-step explanation:

What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

how to write this numbers in word 89.04​

Answers

Answer:

eighty-nine point zero four

Step-by-step explanation:

Answer:

u mean 89.04 = eighty-nine point zero four?

Step-by-step explanation:

??????!?????????????????????!?!

Answers

Step-by-step explanation:

if the area of a box is 1 cm^2

then area of triangle is6 cm square

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

B

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2  = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

If you subtract a negative number to another negative number do you get a positive answer or negative?

Answers

Answer:

Negative

Step-by-step explanation:

Because Depending on which number is the biggest it's negative and the rules say the same signs add different subtract and keep the sign of the bigger number so

positive minus a negative= positive (6-3=3)

negative-positive= negative (-10+5= -5)

Example: What is 6 − (−3)? Yes indeed! Subtracting a negative is the same as adding!

a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?

Answers

Answer:

The probality is 5/30 or in simpliest form it is 1/6!

Step-by-step explanation:

Hope this helps! Plz give me brainliest

Calculate the rise and run to find the slope of each line

Answers

Answer:

Step-by-step explanation:10

Answer:

1) slope m=-4

2) slope m=-5/4

3) slope m=1

4) slope m=-2

5) slope m=3/5

6) slope m=5/8

Step-by-step explanation:

Slope equation: m=y2-y1/x2-x1

With our slope equation can get just use the graph and choose two points that the line crosses over.

Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4

The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.

(I may be wrong because the graph is a little blurry)

Hope this helps you

which number is irrational?

Answers

Answer: pie, the last one

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

That looks like interior angle to me

x = 47 (since interior angles are congruent)

Step-by-step explanation:

I am really sleepy... :/

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes

Answers

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

Please Help Me I will give you 100 Points

Answers

Answer:

twoendndbdsjwu

Step-by-step explanation:

Answer:

a. x represents the 1$ rides and y represents the 2$ rides.

b. they represent the rides that she has taken.

c. (4, 11) or  x = 4 and y = 11

Step-by-step explanation:

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

Solve the equation. - 13 = 5+X​

Answers

Answer:

-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18
Other Questions
What was Po'Pay's Rebellion? Please help. I really need help An angle turns through 75/360 of a circle. what is the measure of the angle? Can someone help me? Giving 23 Points. What is the wavelength of light falling on double slits separated by 2.00 m if the third-order maximum is at an angle of 60.0? A patient is diagnosed with a degenerative disease of the nervous system. Select the disorder that would match this diagnosis How many pairs of angles are marked as congruent in the figures below?pls answer real quick 20 points!!!!!! Suppose the real gross domestic product (GDP) grows by 2% and inflation is equal to 3%, but there is no change in the velocity of money. based on the equation of exchange, by how much does the quantity of money change? In the run series #2 what is the main idea of the story? A: A girl named Anna johnson uses her father's radio kit to ask whether anyone who's still human is out there.B: Two young men barely escape a crowd of people rushing toward them C: Mac enters a gas station and fills plastic bags with trail mix, bottled water, medicine, granola bars, and jars of peanut butter.D: Two young men are trying to survive in a world where almost everyone seems to have gone crazy Which fraction is less 11 out of 12 or 5 out of 12 What is the equation of the line that passes through (-1, -7) and has a slope of 2? What would you do if you found out your best friend died so you go to your mom house to tell her and you go inside and you hear ambulance so you look out the window and see your mom being carried on a stroller into the hospital car to the hospital and your mom died in the hospital bed and you see she died because she got bit by a virus snake so you go to her funeral and you see Xxx at the funeral and you realize that you were the one that died and you were at hell. What would you do? What must follow the division of the nucleus to complete the process of binary fission Match the following definition with the correct term.MetabolismCaloriesBasal MetabolismWeight ManagementMetabolic Rate____ is the process of your body utilizing the energy found in food.arrowRightThe energy value of the food is measured in units of heat called ____.arrowRightYour ____ is the minimum amount of energy required for your body to survive.arrowRight_____ is the ability to maintain a proper balance of the calories you intake and those you expend.arrowRightThe rate at which you are burning and utilizing calories is known as your ______.arrowRight Following World War II, what was one major difference between the United States and the Soviet Union?The United States had a puppet government, whereas the Soviet Union wanted to contain Communism.The United States had a single-party government, whereas the Soviet Union had a democratic government..The United States had a free market, whereas the Soviet Union had a government-controlled economy.The United States had a government-controlled economy, whereas the Soviet Union had a free market. 1-Why did Shakespeare only writein pen?with problems2- Why obesity causes a majorpublic health concern.There's a growing body of literature on that3- "A boy jumped through thewindow". What is the subject?He couldn't decide which type of pencilto use-02B or not 2B.4-. "What subjects do we have later?""Literature, and the rest... is history!"English literature5-What's a car's favourite genre ofliterature?6-I'm an English teacher, and I'mobsessed with staying clean.An auto-biographyI hope there isn't any literature house.7-What did the math book say to theYou're so full of great stories, I'm just filled with problems.Hi I just wrote some jokes for you guys for entertainment. I hope you guys like it!! Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid7 % in interest. At the end of the first year he had earned $958 in interest. How much was in eachaccount?$____at 10 %$____at 7 % By imagining where she was when she last walked in the door, Marla retraced her steps to find her keys. This is an example of a __________ dependent memory.A.moodB.echoicC.state of beingD.context please help me anyone its due today thank you ! -11 = -4/3 y Please answer the question...What is the value of y?