-2x+2y=6 and 7x+4y=23

Answers

Answer 1

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!


Related Questions

Here is an expression: 4•3^x


a. Evaluate the expression when x = 2


b. Evaluate the expression when x = 4.

Answers

Answer:

First one is 36 and second one is 324!!!

Please answer quick in test!

Answers

Answer:

The first one

Step-by-step explanation:

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⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀

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The cost of 8 kg of butter is $ 904. what will be the cost of 14 kg of butter

Answers

Answer:

$1582

Step-by-step explanation:

cost of each kg 904/8=113

cost of 14 kg 113x14=1582

the cost of 14 kg of butter is $1582

Identifique el valor atípico en la siguiente lista. Luego encuentre la media y la mediana de la lista con y sin el valor atípico 10, 4, 20, 5, 11, ISo, 7 de millas Atípico- 10 Media con valor atípico - 29,6 Mediana con valor atípico- 10 Media sin valor atípico - 44,1 Mediana sin valor atípico - 10,5 b. Valor atípico -10 Media con valor atípico - 10 Mediana con valor atípico - 29,6 Media sin valor atípico - 8,5 Mediana sin valor atípico 9.5 a Valor atípico - 1SO SN Media con valor atípico -9,5 Mediana con valor atípico 8,5 Media sin valor límite 29,6 Mediana sin valor atípico - 10 d Valor atípico - Media ISO con valor atípico -29,6 Mediana con valor atípico 10 Media sin valor atípico - 9,5 Mediana sin valor atípico - 8,5

Answers

Translate to English and I can help u, if I were to give u a answer it would be -8.5 based on the stuff given

What is a quadratic function that has zeros of x=-1 and x=-2?
Write in factored form.

Answers

Answer:

f(x) = (x + 1)(x + 2)

Step-by-step explanation:

Zero x = -1 corresponds to factor x + 1, and zero x = -2 to x + 2.  Thus, the quadratic in question is

f(x) = (x + 1)(x + 2)

Please help!
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
- As x increases, y _______ (increases/decreases).
- The rate of change for y as a function of x is not __________ (constant/constant), therefore the function is ________ (linear/nonlinear).
- For all values of x, the function value y ___ (≤/≥/=) 0.
- The y-intercept of the graph is the function value y = ____.
- When x = 1, the function value y = ___.

Answers

Answer:

As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

What is the recursive rule for the endangered turtles?

Answers

Answer:

they have to be protected, people have to work harder to protect them, and their habitats. The image below might help. (I hope this helps sorry if not!)

The recursive rule for the endangered turtle is to create critical habitats that would ensure their survival.

What does it mean for the turtles to be endangered?

This means that based on the threatening activities of humans in their habitats, they are about to become extinct.

To prevent this from happening, the Endangered Species Act (ESA) has created habitats that are vital to the conservation of the animal.

Read more on endangered animals here:

https://brainly.com/question/740101

I'll give u brainliest if u answer it

Answers

Answer:

i think its A

Step-by-step explanation:

But if i am incorrect i apologize

please help i dont understand

Answers

Given:

Number of spheres = 2

Number of prisms = 3

Number of pyramids = 5

To find:

The probability that a pyramid will be selected.

Solution:

We have,

Favorable outcomes = Number of pyramids

                                  = 5

Total outcomes = Total number of figures

                          = [tex]2+3+5[/tex]

                          = [tex]10[/tex]

Now, the required probability is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{5}{10}[/tex]

[tex]\text{Probability}=0.5[/tex]

Therefore, the probability that a pyramid will be selected is 0.5.

45 is what percent of 60​

Answers

Answer:

75%

Step-by-step explanation:

[tex]\frac{x}{100} = \frac{45}{60}[/tex]

45 x 100 = 4,500

4,500 divided by 60 = 75

If it costs $80,000 to put on an event and the total revenue is $250,000, what is the profit as a percentage of revenue? (Round to the nearest percent.)

Answers

It would cost 273,711 dollars.

The graph of y = 3*:

Answers

this is the answer. this should help

What is 20% of 900 ?

Answers

Answer:

180

Step-by-step explanation:

900/ 10= 90x 2= 180

haha very bad explaination but hope it helps <3

Answer:

180

Step-by-step explanation:

First let's write the problem out.

20% of 900 = 20%*900

20% can also be written out as .2

now all you need  do is multiply .2 by 900

This should get you 180

answer to –1.7+5.2(5.5+–10.8a)

Answers

Answer:

26.9 - 56.16a

Step-by-step explanation:

-1.7 + 5.2(5.5 - 10.8a)

use the distributive property

-1.7 + 28.6 - 56.16a

combine like terms

-1.7 + 28.6 = 26.9

26.9 - 56.16a

plz mark as brianliest if correct!!!

Not sure if this is what ur looking for but simplified it is 56.16a + 26.9

PLEASE PLEASE PLEASEEEE HELP

Answers

Step-by-step explanation:

Volume

= 1/3 * π* r² * h

= 1/3 * 3.14 * 5² * 5

= 1/3 * 3.14 * 25 * 5

= 130.83 units ³

Hope it will help :)❤

Answer:

V = 130.83

Step-by-step explanation:

The equation for the volume of a cone is:

[tex]V =\frac{ \pi r^2h}{3}[/tex]

we can see that r = 5, and h = 5

we will use 3.14 for the value of pi

so, we just fill in the equation with the values we know and solve :)

[tex]V=\frac{\pi r^2h}{3} \\V=\frac{(3.14) (5)^2(5)}{3}\\V=\frac{(3.14) (25)(5)}{3} \\V=\frac{392.5}{3} \\V= 130.8333 (approx.)[/tex]

the question wants the nearest hundred, so the final answer is

V = 130.83

as a ratio in simplest form, 33.5% is express as

Answers

Answer:

335/1000

Step-by-step explanation:

33.5% is .335 so 335/1000 is 33.5%

335/1000 is the answer

A zoo has 60 penguins total if the emperor penguins make up 35% of all the penguins at the zoo how many emperor penguins are at the zoo?

Answers

Answer:

21 emperor penguins

Step-by-step explanation:

1. Convert 35% to decimal form

0.35

2. Multiply 0.35 by 60

21

3. The answer is 21

Jan rode to her friend's house with a constant speed of 14 m/hr. How long will she take to
travel the 15 miles there?

Answers

Answer:

1.07 hours

Step-by-step explanation:

14 miles = 1 hour

15 miles = x hours

Equal these two together

14 mi/1hr = 15 mi/xhr

Cross multiply

14 mi × x hr = 1 hr × 15 mi

I will stop using the units for now so it won't be as confusing

14x = 15

Divide both sides by 14 to isolate the variable

14x ÷ 14 = 15 ÷ 14

x = 1.07... hours

your friends show you a coin collection .in it 45/50 of the coins are quarters.what percent of the coins are quarter

Answers

Answer:

90%

Step-by-step explanation:

45 : 50

45 / 50 = 0.9

0.9 x 100 = 90

Answer: 20%

Step-by-step explanation:  i learned this in mexico class

Tomás bought a book that cost $18. It was on sale for 84% of its original price. How much did Tomás pay?

Answers

Answer:

I dont know lol

Step-by-step explanation:

I

dont

know

lol

Answer: $15.12

Step-by-step explanation:

You just need to find 84% of 18 which is 15.12. what you do is you convert the percent into 0.84 and multiply is by the original price which is 18.

84%=0.84

0.84 times 18 = 15.12

:)


4x - 3y = -3
4x + y=17
The solution is....

Answers

1. Subtract the second equation from the first and solve for y: 0 - 4y = -20 => y=5
2. Substitute y=5 into one of the equations and solve for x: 4x - 3(5) = -3 => 4x = 12 => x=3

So the solution is (x, y) = (3, 5)

The graphs of f(x) and g(x) are shown below.

For what interval is the value of (f - g)(x) negative?

O (-*infinity sign*,-1)
O (-*infinity sign*, 2)
O (0, 3)
O (2, *infinity sign*)

Answers

Answer:

The second one

Step-by-step explanation:

Graph the function f(x)=x^2+4x- 12 on the coordinate plane. (do a, b and c)(explain or show how you know the answer.) (graph down below.)

a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

9514 1404 393

Answer:

  a) {-6, 2}

  b) -12

  c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

__

a) The function can be factored as ...

  f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

__

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

__

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

  f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

Answer:

I took the test.

A (6, -2)

b (-12)

c  Minimum -16

Step-by-step explanation:

I’m not quite sure what they mean by this so can someone provide the answer AND the step by step solution.

Answers

Answer:

first just choose a team, and then they will ask you questions, try to go for red

Step-by-step explanation:

HELP PLEASE!! Alita is 2 times as old as Jiro. Jiro is 4 years younger than Erik. Erik is 1/3 as old as dawn. The sum of all their ages is 72 What equation could you write to represent this situtation????

Answers

Step-by-step explanation:

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

or

1/3d - 4 × 2 =72

let d = dawn

let e = erik

let j = jiro

let a = alita

remember that a number next to a variable means multiplication.

The equation could  write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

What is equation?

An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13.  These are the expressions  2x – 5 and 13.The sign connecting these two expressions is "=".

In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.

Equations are different, for example:

Linear equations Quadratic equations Cubic equations Quartic equations Differential equations Parametric equations

Let us suppose ,

age of Erik is e

dawn is d

Jiro is j

Alita is a

The equation could write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

To learn more about equation, refer;

https://brainly.com/question/10413253

#SPJ2

how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?​

Answers

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

PLEASE HELP
7x-3= -24 what is x and how do you find it?

Answers

Answer:

x = -3

Step-by-step explanation:

7x - 3 = -24 (Given)

7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)

7x = -21 (Simplified)

7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)

x = -3 (Simplified)

Therefore, x = -3.

Answer:

x= -3

Step-by-step explanation:

You do the opposite.

So,

-24 +3

= -21

-21/ 7

= -3

Therefore, the answer is -3

plz help, i would really appriciate it :)

Answers

Answer: [tex]x^{2} +12x+20[/tex]

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= [tex]x^{2} +12x+20[/tex]

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

How much inches go into 5ft?

Answers

1ft is 12 inches, multiply 12 with 5. That’s gonna be 60.

Answer: 60 inches

Select the right answer?

Answers

Answer:

opposite sides are parallel

Answer:

Option A.) All 4 sides are congruent.

Step-by-step explanation:

Because this chapter is related to Rhombus.

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Which statement best describes an autotroph? Sunland, Inc. had pre-tax accounting income of $2100000 and a taxrate of 40% in 2018, its first year of operations. During 2018 the company had the following transactions:Received rent from Jane, Co. for 2019 $90000Municipal bond income $114000Depreciation for tax purposes in excess of book depreciation $54000Installment sales profit to be taxed in 2019 $156000At the end of 2018, which of the following deferred tax accounts and balances exist at December 31, 2018?a. Deferred tax asset $57600b. Deferred tax asset $36000c. Deferred tax liability $57600d. Deferred tax liability $36000 Which of the following does not provide new genetic combinations? write 4729 correct to the nearest hundred Identify the gerund phrase in this sentence. Our baseball team is playing out of town this week. jo puts $4500 in a savings account that earns 5.5% interest. how much money will he have after 18 months? Calculate each of the following quantities: a) Molarity of a solution prepared by diluting 27.0 cm3of 0.150 M potassium chloride to 150.0 cm3b) Molarity of a solution prepared by diluting 35.71 cm3of 0. 0756 M ammonium sulfate to 500 cm3c) Final volume of a 0.05M solution prepared by diluting 10.0 cm3of 0.155 M lithium carbonate with water rite an equation of the line with the given slope, m, and y-intercept (0,3).The equation is_______m=0, b=-5(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) Which of the following is an example of an object with kinetic energy?a. a plane lifting off of the runwayb. a bobsled perched at the top of a runc. a snowball tumbling down a hilld. both a and c What is Tripp asked to carry & why does he refuse? On December 31, 2017, Extreme Fitness has adjusted balances of $980,000 in Accounts Receivable and $91,000 in Allowance for Doubtful Accounts. On January 2, 2018, the company learns that certain customer accounts are not collectible, so management authorizes a write-off of these accounts totaling $28,000. What amount would the company report as its net accounts receivable on December 31, 2017 my 13th birthday is coming up and my mother gave me 3 choices skating, bowling, or a cookout um which one should it be PLEASE HELP!!! how are brain skin and bone genetically related? What does this saying mean?"The best mirror in the world is an old friend" LEARNING ACTIVITY 5 - I CAN DO IT! (ASSESSMENT)IDENTIFY ME!Read the statement carefully. Identify the term that is described. Write youranswer on your answer sheet.1. It is referred to as the interactions of parties with eachother.2. Means by which people choose their officials3. A method by which an elective local official may beremoved from office during his term.4. It is the right and obligation to vote of qualified citizensin the election of public officers.5. It is any group providing label upon which candidates runfor public offices.6. The capacity to respond and to articulate the views ofboth members and voters.7. Those declared as insane or incompetent person.8. Is the vote of the people expressing their choice for oragainst a proposed law submitted to them.9. Only one political party holds power either because ittowers above the others or because it suppresses all other groups.10. Is a conservative group which aims to maintain thestatus of in the country pls help me..thank u in your own words, describe the steps the government took to free slaves and restore the rights of african americans after the civil war can someone plz do both of these will mark brainleist A school earns $70 from selling 50 tickets for the school play. Each ticket costs the same price.How much does the school earn for one ticket ?? -40, -47, -54, -61, ...Find a 29 Which two words from the article are the closest synonyms?(A)Expand and feature(B)Supervised and presented(C)Transport and appear(D)Erected and constructed