Mathematics High School

Graham graphs the following system of equations to determine its solution.

2x + 4y = 12
2x - y = 2

What is the correct solution?

Enter your answer by filling in the boxes.

(__,__)

ASAP plz

Answers

Answer 1

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

Answer 2

After solving the equation, the value of for the points x and y are (2, 2).

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

2x + 4y = 12   (i) and

2x - y = 2  (ii)

Solve the value for y,

5y = 10

y = 10/5

y = 2

Substitute y=2 in equation (i)

2x + 4(2) = 12

2x = 12 - 8

x = 4/2

x = 2

Therefore, the point is (2, 2).

To know more about Equation:

https://brainly.com/question/14686792

#SPJ5

Related Questions

Find the median for the given sample data. The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 24 26 24 27 27 24 29 26 34 30 30 28 23 30 24 19 14 26 26 26 Find the median number of vehicles going through the line in a fifteen-minute period.

Answers

Answer: 26

Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Does anyone know the answer to this please
I’m stuck on it .

Answers

Answer:

a=1/4

b=1/8

c=1/81

Source:trust me bro

how many natural numbers from 78 to 24?

Answers

54 numbers is the answer

Find the value of x (Round to the nearest tenth)


Pls pls help!!!!

Answers

Answer:

28.32

Step-by-step explanation:

using the formula [tex]a^{2} +b^{2} =c^{2}[/tex], you get [tex]21^{2} +19^{2} =c^{2}[/tex].

then you get [tex]441+361=802[/tex]

your answer needs to be the square root of 802.

the square root of 802 is 28.319604517

Which rounded to the nearest tenths is 28.32

Carlton has a job offer for a position as a telemarketer. The job pays $60 per week, plus a
$15 commission for each sale he makes. How many sales would Carlton have to make in
a week in order to earn $240?

Answers

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

Please help!
3 3/4 = r + 1/8

Answers

Answer:

r = 29/8 or 3 5/8

Step-by-step explanation:

so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that

this equals 6/8

add 3 so 24/8

then you subtract 1/8 from both sides

r = 29/8

simplify so 29/8 = 3 5/8

Who has
✨ A n x i e t y ✨

Answers

Answer:

yupyup

Step-by-step explanation:

been having it for years now

Is the relation a function?​

Answers

Answer:

No it is not because of the 3 it is repeating and it is not a function

Step-by-step explanation:

PLEASE HELP i really need the answer asap

Answers

Answer:

its 16

Step-by-step explanation:

8 /x = 10/20

20 * 8 =160

10 * x =10x

10x = 160

x=16

The answer is
X is 16

In 2/3 divided by 4/5 the____ is 2/3 .

Answers

Answer:

Numerator

Step-by-step explanation:

2/3 / 4/5. 2/3 is the numerator of the compound fraction.

The problem could also solved using the ___formula?

Answers

Answer:

right,correct can be used here

#12, what is this answer ?

Answers

Answer:

joan chris martin sara

Step-by-step explanation:

SOLVE THIS PROOF PLEASE

Answers

Answer:

wait what are you trying to find i-

Step-by-step explanation:

Cynthia says that the expression
2(3x + 4) is equivalent to the expression
6x + 8. Is Cynthia correct?

Answers

yes Cynthia is correct

Solve (v +3) - 44 = 0, where v is a real number.

Answers

the answer to your question is v=- 41

Answer: V = 41

Explanation in the photo below

Convert 6 4/5 into improper fractions.

32/6
32/5
33/5
36/5

Answers

Answer: 34/5

Step-by-step explanation:

help 20 points btw............

Answers

you would do base times height

Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8

A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_​

Answers

Answer:

A. -4< n<8 B.-4< n< 8

Step-by-step explanation:

Answer:

D.-4<n<8

Step-by-step explanation:

I alway get this wrong idk how pls help

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the total earned is d

you earn $4 after each hour (x), so you multiply

xoxo, your highness...

find the slope of each line

y = 2x - 2

y = 7/3x + 2

2x + y = -5

4x - 5y = -20​

Answers

Answer: first one is  2 second one is not linear the 3rd one is -2 and the 4th one is 4/3

Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you

solve for "x" : 2x + 3x + 4x =36​

Answers

Answer:

4

Step-by-step explanation:

2x + 3x + 4x = 36

Evaluate like terms.

9x = 36

Find x.

x = 36 ÷ 9

x = 4

Answer:

b) 4

Step-by-step explanation:

2x+3x+4x=36

=5x+4x=36

=9x=36

x=36/9

x=4

What does the zero on a graph represent

Answers

Answer:

the origin

Step-by-step explanation:

Answer:

The origin

Step-by-step explanation:

(0,0) is often called the origin.

please please help im gonna fail​

Answers

   .       ...........................................

          .........

                                 .

Answer:

lol bro I'm failing too. Maybe it's a

in having trouble can someone help me please

Answers

Answer:

-19

Step-by-step explanation:

Input -6 for n and solve: 3(-6)-1

Answer:

-19

Step-by-step explanation:

3 (-6) - 1 = -19

Billy ate 5/4 pizzas and John ate 5/3 pizzas. How much more pizza did John eat than Billy?

Answers

Answer:

5/12 pizza

Step-by-step explanation:

Your grandmother is worried about the heat during the family reunion picnic yesterday between 10 am and noon the temperature rose 6 degrees then between noon and 3pm it rose 4 degrees what was the average rate of increase in temperature between 10am and 3pm

Answers

Answer:

Average rate of temperature increase is 2 degrees per hour

Step-by-step explanation:

Here, we want to calculate the average rate of increase in temperature

From what we have above, we can calculate this by dividing the total temperature rise by the number of hours

The total temperature rise is 6 + 4 = 10 degrees

This means that the temperature rose by 10 degrees between 10 am and 3 pm

The number of hours between 10 am and 3 pm is 5 hours

So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour

Which of the following equations have no solutions?

Answers

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

curved surface area of half cylinder​

Answers

Answer:

curved surface area of half cylinder is

Step-by-step explanation:

πr2h

Answer:

Area of half cylinder is

Step-by-step explanation:

πr2h

Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
Combine the constant terms by adding 7 and –2.
The equivalent expression is 9 + 3 k.
n, 5 k, and negative 3 k are like variable terms.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.

Answers

Answer:

Shown Below

Step-by-step explanation:

7+5k-2-3k+n

If you combine like terms, you should get 5+2k+n.

Combine the constant terms by adding 7 and –2.Combine the like variable terms by adding the coefficients.5 k and negative 3 k are like variable terms.The constants 7 and –2 are like terms.The equivalent expression is 5 + 2 k + n.

which is it please help ill give kisses

Answers

Angle E is congruent to angle C so the answer is C

Answer:

I think the answer is C

Step-by-step explanation:

Other Questions
Albino individuals lack all pigmentation so that their hair and skin are white. Thetransmission of Albinism is shown on the pedigree below.According to the pedigree, what is the mode of inheritance for this condition? If xy =1 show that dy/dx=-1/x Why did the South prove to be more difficult to conquer than the British expected? Which of these groups contains single-celled organisms?A. birds. plantsC. fungusD. animals Someone please help i cant find the answer. Find the value of (3/4) What was the Proclamation of 1763 designed to do and what impact did it have on British Colonial relations? At what stage of the cycle does the cell copy its DNA? CELLULAR RESPIRATION!!! Explain what cellular respiration is using the vocabulary words: cellular respiration, energy, matter, and chemical reaction. Make sure to describe how the cell gets the matter and energy needed. The main issues that led women to begin moving beyond the home was theabolition of slavery, prison reform, temperance and education.A. TrueB. False r=11+8r=29 Please Helpppp me Help me with this math Multiply : 3/4 x -1/6A -1/8B 12/6C 1/8D -12/6 Which unit rate is equivalent to 19 miles per gallon? A. three gallons over fifty seven milesB. fifty seven miles over three gallonsC. thirty seven miles over four gallonsD. four gallons over thirty seven miles Read the four statements below. Which two statements accurately explain why the British government believed that it was fair to increase the taxes on American colonists? 1. The British government considered the American colonists to be their slaves. 2. The British government use some tax revenue to defend the American colonist. 3. The British government taxed British citizens at a higher rates than the American colonists. 4. the British government wanted to punish the American colonists were seeking Independence. So before you go was there something I coy make your heartbeat better? Have a splendid day ritual is part of identity of a community and need to be preserved Read the sentence.Anish is researching the history of the Olympics and finds a government report that has information he can cite in his essay.This type of source is consideredan academic source.an internal source.a popular publication source.a news publication source. HELPP!!Puritan culture dominated the New England colonies.O TrueO False Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?