Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7

Answers

Answer 1

Answer: (-1, 2)

Step-by-step explanation:

Let's start by solving for x in

[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]

We can now sub this value of x in 3x+5y=7 and solve

[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]

Now we can sub in 2 for y in one of the equations

[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]

x=-1 and y=2 giving us the point (-1, 2)


Related Questions

Rewrite the sentences below to make them more concise. During that time period, many car buyers preferred cars that were pink in color and shiny in appearance.

Answers

Answer:

Pink, shiny cars were preferred by buyers at that time

Step-by-step explanation:

Rewriting the sentence, removing unnecessary words

Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?

Answers

The y-intercept is (0,12), or just 12, hope this helps

Answer:

Your answer is (0,4)

Step-by-step explanation:

Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?

Answers

Answer:

Point A

Step-by-step explanation:

The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.

Answer:

A

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
- 4x2 + 2x - 5(1 + x)
What expression is equivalent to the given expression?

Answers

Answer:

4x² + 3x + 5

Step-by-step explanation:

Given:

- 4x² + 2x - 5(1 + x)

Open parenthesis

= - 4x² + 2x - 5 - 5x

= - 4x² + 2x - 5x - 5

= - 4x² - 3x - 5

Multiply through by -1

= - 1( - 4x² - 3x - 5)

= 4x² + 3x + 5

Write

4 in the first box

3 in the second box

5 in the third box

if you want to make some money and do my acellus academy math and science subject in 1 day ill pay $25 dollars

Answers

Answer:

no tHank you hope someone can help

Step-by-step explanation:



Can someone help with the ones I haven’t answer

Answers

Answer:

Step-by-step explanation:

[tex]5) 5\frac{11}{12}+3\frac{5}{6}=5+\frac{11}{12}+3+\frac{5}{6}\\\\ =8 +\frac{11}{12}+\frac{5*2}{6*2}\\\\= 8 +\frac{11}{12}+\frac{10}{12}\\\\=8 +\frac{11+10}{12}\\\\= 8+\frac{21}{12}\\\\=8+ 1\frac{9}{12}\\\\= 9\frac{9}{12}[/tex]

A metal smith is mixing two molten metals

Answers

Answer:

I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)

Step-by-step explanation:

Can someone help me please?!!!!​

Answers

Answer: meh

Meh

Step-by-step explanation:

In a deck of 52 playing cards, what is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9?

Answers

Answer:

4.8%

if we assume that the first card is REPLACED (otherwise the formula gets complex)

[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]

Step-by-step explanation:

13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

In a deck of 52 playing cards

We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

n(S) =52

And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,

n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}

Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .

Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Linda had dinner at a restaurant for $56 and leaves behind a tip of 18%. What is the tip amount?

Answers

Answer:

[tex] = \frac{18}{100} \times 56 \\ = 10.08 \: dollars[/tex]

Answer:

$10.08

Step-by-step explanation:

To solve for the tip amount, we multiply 56 by 0.18.

56 · 0.18 = 10.08.

Linda tipped $10.08.

1
What is the value of x in the equation x - y = 30, when y = 152
200

Answers

[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]

Please tell me the ans fast ​

Answers

Answer:

B

Step-by-step explanation:

mgh=PE

(5)(9.8)(2.5)=pe

122.5j=pe

B
is the answer to your question

sketch the graph of y² = -2x + 5​

Answers

Answer:

[tex] {y}^{2} = - 2x + 5[/tex]

Step-by-step explanation:

vertex = [tex]( \frac{5}{2} \: ,0)[/tex]

Hope it is helpful....

Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __

Answers

Step-by-step explanation:

(3^5 - 3^4) (3^3 + 3^2)

= (243 - 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3

5832 is therefore divisible by 24

check:

5832/24 = 243

What is
the vertex of this
absolute value
function?

Answers

Answer:

C

Step-by-step explanation:

The vertex is the point where the 2 lines meet on the V shape

The vertex is at (3, 2 ) → C

Answer:

Option c is the answer I think so if the answer is correct plz mark me as brainliest

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
270 degrees counterclockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
180 degrees rotation

Answers

it's a 90 degree counterclockwise rotation around the origin (0,0).

see the screenshot for illustration

Answer:

B.

Step-by-step explanation:

Could someone help me please

Answers

Answer:

none of them because their is no value of side MN and AC

Express your answer as a decimal (to the nearest hundredth).
What part of an hour is 20 minutes?
0.25
0 0.375
0.50
0.33

Answers

Answer:

0.33

Step-by-step explanation:

An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour

Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?

Answers

Given:

Reese read twice as many pages Saturday than she read Sunday.

She read a total of 78 pages over the weekend.

To find:

The number of pages she read on Sunday.

Solution:

Let x be the number of pages she read on Sunday.

Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.

Total number of page she read over the weekend is:

[tex]Total=x+2x[/tex]

[tex]Total=3x[/tex]

She read a total of 78 pages over the weekend.

[tex]3x=78[/tex]

[tex]x=\dfrac{78}{3}[/tex]

[tex]x=26[/tex]

Therefore, Reese read 26 pages on Sunday.

Solve 4x + 11 = k for x.
O A. x= -11
O B. x=-11
O C. x = 4k - 44

D. x= k-7

Answers

Answer:

4x + 11 = k

<=> 4x = k - 11

<=>

[tex]x = \frac{k - 11}{4} [/tex]

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.

Answers

Given:

Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

[tex]V=a^3[/tex]

Where, a is the side length.

It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,

[tex]a^3=\dfrac{1000}{125}[/tex]

[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{10}{5}[/tex]

[tex]a=2[/tex]

Therefore, the length of a side of the water tank is 2 meters.

Helppppp and explain !!!!

Answers

Answer:

dat I don't know the answer sorry I could not answer u

Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS

Answers

Answer:

C.) AA

Step-by-step explanation:

AA is a similarity theorem

hope this helps stay safe :)

Answer:

The answer would be C.

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

check all that apply. if cos0 = 13/5, then: ?

Answers

Answer:

D

Step-by-step explanation:

if cosec is 13/5 then sin is 5/13

Find the value of x. PLEASE HELP ASAPPPPPP


Answers

Answer:

5

Step-by-step explanation:

(38 + 6x - 6) ÷ 2 = 7x -4

multiply both sides by 2

(38 + 6x - 6 = 2( 7x - 4)

38 + 6x - 6 = 14x - 8

32 + 6x = 14x - 8

40 = 8x

x = 5

Midsegments are the average of both bases.

A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со

Answers

Answer: Approximately 0.667%

Work Shown:

2/300 = 1/150 = 0.00667 = 0.667%

So less than 1% of the chips are defective.

I NEED THE ANSWER ASAP PLZ ;C

Answers

The top right quadrant is quadrant 1.

The top left quadrant is quadrant 2.

The bottom left quadrant is quadrant 3.

The bottom right quadrant is quadrant 4.

Therefore, point D is in the fourth quadrant.

Si 4/9 de los adolencentes que confirmaron su asitencia fueron varones y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron y 24 que confirmaron su asistencia si participaron ¿cuantos adolecentes en total confirmaron su asitencia?¿Cuantos adolencentes varones confirmaron su asistencia?

Answers

Answer:

216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:

5/9 x 1/5 = 24

5/45 = 24

1/45 = 4.8

4.8 x 45 = 216

216 / 9 x 5 = 120

216 / 9 x 4 = 96

Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please

Answers

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

How do I write
(28/4) - (x+7) in written form?

Answers

Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation:

Other Questions
How does science help us understand events in the natural world, and what is chemistry's role in understanding these interactions? Question is in the image Potassium carbonate, K 2CO 3, sodium iodide, NaI, potassium bromide, KBr, methanol, CH 3OH, and ammonium chloride, NH 4Cl, are soluble in water. Which produces the largest number of dissolved particles per mole of dissolved solute write a several paragraph about natural calibties. Bjr pouvez vous m'aider what was the impact of pseudoscientific ideas of race on the Jewish nation by the Nazi Germany during the period of 1933 to 1946 79 POINTS AND BRAINLYEST IF ITS CORRECTSelect the correct locations on the map.In which four regions did the worlds first farmers live? The purchase price and all costs to bring an asset to its desired condition and location for use should be ________. a. accrued b. capitalized c. expensed Candice is preparing for her final exam in Statistics. She knows she needs an 74 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 68 and a standard deviation of 4. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 74 is within one standard deviation of the mean. a) Yes, 74 is the upper limit of one standard deviation from the mean. b) Yes, the upper level of one standard deviation is 72. c) Yes, 74 is greater than the 64, one standard deviation below the mean. d) No, 74 is greater than the mean of 68. 4a {32 +4)- 34 2- 5) a[3" ()How do I simplify this Now that youve chosen your topic and someone to write to, write your letter. Use the Process section below to help you figure out how to approach your letter. Make sure your letter includes an explanation of the issue youve picked and why it is important to you. Suggest at least one way you think the issue could be addressed by your congressperson or by the government. Optionally, have a fellow student do a peer review of your letter before you turn it in. Once your teacher has graded your letter, send it on to your representative. (someone please write a short essay about school shootings and gun laws PLEEEEEASSSEEEEEE) il give you a hug or sum What did mary cassatt enjoy painting the most? The four laws of liquid pressure An ideal neon sign transformer provides 9130 V at 51.0 mA with an input voltage of 240 V. Calculate the transformer's input power and current. If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in kilograms? In one paragraph, explain how Mansa Musa influenced the development of the Mali Empire. Use reasons and evidence from the reading to support your claims The phylogenetic tree above represents the three domains of organisms on our planet. According to this tree, organisms in domain Eukarya are closer related to organisms in domain Archaea. Organisms in kingdom Eukarya can be distinguished from organisms in kingdom Archaea by which of the following distinctions?Group of answer choicesThe presence of ribosomes for protein synthesis.The use of a cell wall for protection and supportThe presence of a nucleus in their cellsThe storage of genetic material in DNA molecules. If the angle of a triangle are in the ratio 1:2:3, determine the 3 angles what does the persona describe in the first stanza of the poem wreath of tears by kobena Eyi Acquah? the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool