Solve the system by the elimination method. Check your work.

x-3y=0
3y-6=2x

(-2,-6)
(-6,-1/2)
(-6,-2)​

Answers

Answer 1

Answer:

C, (-6,-2)

Step-by-step explanation:

x - 3y = 0 --(1)

3y - 6 = 2x --(2)

We can rearrange equations 1 and 2:

3y - x = 0 --(3)

3y - 2x = 6 --(4)

Subtract 4 from 3:

(3y-3y) + (-2x+x) = (6-0)

-x = 6

x = -6

Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:

x - 3y = 0

-6 = 3y

y = -2

Let's check to see if we are right but substituting the values of x and y into both equations

x - 3y = 0

-6 + (-3*-2) = 0

-6 + 6 = 0

0 = 0 Correct

3y - 6 = 2x

3(-2) - 6 = 2(-6)

-6 - 6 = -12

-12 = -12 Correct

Our answer is correct!


Related Questions

Find the median of the numbers (1.5, 2.3, 3.4, 5.6, 0.3, 3.4, 3.2, 2.2).

Answers

Answer:

2.7375

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

2.7

Step-by-step explanation:

(1.5+2.3+3.4+5.6+0.3+3.4+3.2+2.2)/8=2.7375≈2.74

Katarina wrote the standard form of a linear equation as 4x - 2/3y = 8. Sofiya told her that the equation was not yet
in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

Answers

Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.

A box has a square base of side 20cm and height 10cm. Calculate the percentage increase in the volume of the box after the length and width of the base are both increased by 20% and then height by 15%

Answers

Answer:

Step-by-step explanatio

Answer:

65.6%

Step-by-step explanation:

Volume of the box:

V = lwh20*20*10 = 4000 cm³

New volume:

(20*1.2)*(20*1.2)*(10*1.15) = 4000 *(1.2*1.2*1.15) = 4000*1.656

1.656 times increase is equivalent of 65.6% increase

Shyla answered 38 out of 40 questions correctly on the quiz. What percent did she answer correctly? She answered 95% correctly. Show the proportion and work that gives that answer.

Answers

Answer: I think 90 %

Step-by-step explanation:

Answer:

it is 95%

Step-by-step explanation:

What is the quotient for 11/8 ÷ 3/4
And solve

Answers

Answer:

Decimal Form:

1.833333 (add a line over 3 because the answer is 1.83 repeated)

Mixed Number Form:

1 5/6

what is 8 time the square root of 6

Answers

Answer:

19.5959179423 or when simplified, 19.6

Step-by-step explanation:

Find the area of this parallelogram?

Answers

Answer:

A = 210.

Step-by-step explanation:

Area = b*h

In this case, it is 14 (base) times 15 (height)

14*15=210

(19 is an extra number that we don't need)

A recent survey has shown that 68% of professional photos are of humans, 39% are of pets, and 17% are of both humans and pets. Suppose a professional photo is selected at random and it is of a human. What is the probability that the photo also has a pet?

0.17
0.25
0.39
0.44

Answers

Answer:

.25

Step-by-step explanation:

I just took the quiz

The probability that the photo also has a pet is 0.17

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that recent survey has shown that 68% of professional photos are of humans, 39% are of pets, and 17% are of both humans and pets.

We need to find the probability that the photo also has a pet.

Therefore,

P(a pet) = 39% = 0.39

P(humans) = 68% = 0.68

P(both humans and pets) = 17% = 0.17

This gives;

P(the photo also has a pet) = 0.17

The probability that the photo also has a pet is 0.17

Learn more about probability here;

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Can you please help me with this?

Answers

The answer to the question is.4771

Which expression is equivalent to 3x - (2x + 4) + 5

Answers

20 - 5x.

or

x + 1

Brainliest?... thx

Answer:

x+1

Step-by-step explanation:

Hope This Helps :)

Let x be the weight of a juvenile condor. Write the possible unique values for x: (NOTE: Separate each value in the list with a comma.) equation editorEquation Editor .

Answers

MISSING PART OF QUESTION:

Consider the population of four juvenile condors. Their weights in pounds are : 5, 6, 10, 13

Answer:

The unique weights are 5, 6, 10 and 13

Step-by-step explanation:

Given

Weights: 5, 6, 10, 13 pounds

Required

Determine the unique weights of the juvenile

From the question, we understand that the weights of the juveniles could be any of 5 pounds, 6, 10 or 13 pounds

These values are the unique weights of the juveniles.

In other words, any value other than 5, 6, 10 or 13 can not be regarded as weights of the juveniles.

Hence, the unique weights are 5, 6, 10 and 13

If line QN bisects angle PQR and N is the midpoint of line PR classify each triangle by its angles and sides

Answers

Answer:

The answer is "Equiangular, Equilateral"

Step-by-step explanation:

please find the complete question in the file.

In this question, the answer is equiangular, in which the triangle was considered an equilateral triangle with 3 parallel inner angles. It's the measurement of each of these interior angles is 60 degrees, inside an equiangular triangle, and although there 3 parallel sides of an equiangular triangle, so it is just like an equilateral triangle.

Based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

Recall:

An equilateral triangle all three sides that are congruent and also has all of its three interior angles equal to 60 degrees each.

In the diagram given (see image attached below), we have the following:

PQ = RQ = 14 (congruent sides)

PN = NR = 7 (N is the midpoint of PR)

Therefore:

PR = PN + NR

Substitute

PR = 7 + 7 = 14

This shows that triangle PQR has equal side lengths measuring 14 units (PQ = RQ = PR = 14).

Also, we are given that:

m<QPR = m<QRP = 60 degrees (two congruent angles).

Taking right triangle QNR into consideration,

m<NQR = 180 - (90 + 60) (sum of triangle)

m<NQR = 30 degrees

Therefore:

m<PQR = m<NQR + m<PQN

Substitute

m<PQR = 30 + 30

m<PQR = 60 degrees.

This means that, triangle PQR has three equal angles measuring 60 degrees each (<PQR = <QPR = <QRP = 60 degrees).

Therefore, based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

Learn more here:

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PLEASE HELP (PRE ALGEBRA)

Answers

Answer: r = 4

Step-by-step explanation:

V = pi * r^2 * h

144 * pi = pi * r^2 * 9

Divide by pi

144 = r^2 * 9

Divide by 9

16 = r^2

Take square root of both sides

rad(16) = rad(r^2)

4 = r

r = 4

1
Simplify. 6( 24x - 60) + 2x

Answers

Answer:

D:-2x +10

Step-by-step explanation:

First, distribute. -1/6 multiplied by 24x is -4x. -60 multiplied by -1/6 is 10. This gives us -4x+10+2x, then combine like terms to get -2x+10

what is the greatest common factor between 110 and 132​

Answers

The greatest common factor is 22




Explanation:


It is the largest number that goes into both 110 and 132.

Answer:

the greatest common factor between 110 and 132 is 22

Step-by-step explanation:

hopefully this helps :)

A store is offering a 30% discount off the regular price of a jacket them amount off the discount was $21 what was the regular price of the jacket

Answers

Answer:

(21/30)*100 = $70

Step-by-step explanation:

Help ASAP Find the measure of 3.

90°
26°
116°
64°

Answers

Answer:

90°

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

11.1(6)+10.5(7)= +73.5
what goes in between = and +

Answers

Answer : 66.6

Hope this helps


Which of these are linear? Choose ALL that apply.

Please help I got 20 minutes

Thank you to all

Answers

Answer:

y=2x-4 is linear while the other is quadratic.

Find the value of x. *
18
56
21

Answers

The answer for x is 18 because they measure the exact amount and it couldn’t be 21 because 21 is longer

HELP ASAP! Which is the steepest slope?
A. -3
B. 1
C. 2
D. -4​

Answers

Positive and negative doesn’t matter. Steepest slope is the smallest or largest number.
In this case D. -4

Choose the correct solution set for each graph. Please help ASAP! 25 point reward.

Answers

The solution set of First graph is,

⇒ {x | x ≥ -2}

The solution set of second graph is,

⇒ {x | x > -5}

The solution set of third graph is,

⇒ {x | - 2 < x < 3}

Given that;

There are three graph.

We have to find the solution set of each graph.

What is Number line?

A horizontal line which represent numbers at equal intervals one after another form smaller to greater (From Left to Right), is called Number line.

In the first number line;

At point -2 closed circle is represent that's mean in a set -2 is present and a ray going towards negative direction.

Hence, The solution set of First line is,

⇒ {x | x ≥ -2}

Option 1 is true.

In the second number line graph;

At point -5 the open circle represent that's mean in set - 5 is not present and ray going in the positive direction.

Hence, The solution set of second line is,

⇒ {x | x > -5}

Option 3 is true.

In the third number line graph;

At points -2 and 3 the open circle represent and a line segment is from -2 to 3 is shown.

Hence, The solution set of third graph is,

⇒ {x | - 2 < x < 3}

Option 1 is true.

Therefore,

The solution set of First graph is,

⇒ {x | x ≥ -2}

The solution set of second graph is,

⇒ {x | x > -5}

The solution set of third graph is,

⇒ {x | - 2 < x < 3}

Learn more about the number line visit:

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Answer:

First Graph would be answer choice "B" & "E"

Second Graph would be answer choice "A" & "C"

Third Graph would be answer choice "A" & "D"

Step-by-step explanation:

As you can see through the screenshot, Everything is correct what I just said! :)

There are 72 people in Mrs. Putzig's classes. One fourth of the students are going to the Saturday picnic. One half of those students are bringing a game to play at the picnic. How many students are going to the picnic and bringing a game?


A. 32 students
B. 18 students
C. 9 students
D. 10 students

Answers

Answer:

are u sure they are the right options

Step-by-step explanation:

9 student I think so C

Two friends, Skylar and Sofia, took summer jobs. The equation y 22.73x represents Sofia's earnings in dollars and cents, y, for working hours. The graph below represents Skylar's earnings in dollars and cents, y, for working x hours. Y Skylar's Earnings S600 $550 $500 $450 (20,$450) $400 S350 Earnings (Dollars) S300 S250 S200 (10, $225) $150 $100 $50 5 25 15 30 35 40 45 50 60 55​

Answers

Here’s the answer with the explanation. The final answer is y=22.5x

True or False?
We can think of equivalent ratios as representing different numbers of batches of the same recipe.

Answers

Answer:

false

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

PLZ ANSWER ASAP PLZ

factor the polynomial -2x^3-4x^2-6x​

Answers

Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

=-2x(x^2+2x+3)

Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer:

Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

Step-by-step explanation:

We need to factor the term: [tex]5a(y + 4) + 8(y + 4)[/tex]

Factoring:

[tex]5a(y + 4) + 8(y + 4)[/tex]

Taking (y+4) common

[tex](y+4)(5a+8)[/tex]

It cannot be further factored.

So, Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

A cable company charges $70 per month for cable service to existing customers
A. Find a linear equation representing the relationship between x, the number of months of service and y, the total amount paid in dollars by and existing customer

Answers

Answer:

70x=y

70 per month=y, the cost

Which equation could generate the curve in the graph below?

On a coordinate plane, a parabola opens down. The parabola is in quadrants 2 and 3, and has its vertex in quadrant 2.
y = –2x2 + 3x – 5
y = –2x2 – 4x – 2
y = –2x2 – 16x– 28
y = –2x2 +16x –28

Answers

Answer:

Its C boys

Step-by-step explanation:

I graphed all of them and compared

The equation that could represent the graph of the parabola is (c) [tex]y = -2x^2 - 16x- 28[/tex]

From the question, we have the following highlights

The parabola opens downThe vertex is in the second quadrant

The second highlight above means that:

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

For a parabola: [tex]y = ax^2 + bx + c[/tex], the vertex is:

[tex](h,k) = (-\frac{b}{2a},f(h))[/tex]

Next, we test the options

(a) y = –2x2 + 3x – 5

We have:

[tex]h = -\frac{3}{-2 \times 2}[/tex]

[tex]h = 0.75[/tex]

The value of h is positive.

So, this cannot represent the parabola

(b) y = –2x2 – 4x – 2

We have:

[tex]h = -\frac{-4}{-2\times 2}[/tex]

[tex]h = -1[/tex]

Substitute -1 for x in the function

[tex]k = -2x^2 - 4x - 2[/tex]

[tex]k = -2(-1)^2 - 4(-1) - 2[/tex]

[tex]k = 0[/tex]

The value of k cannot be 0

So, this cannot represent the parabola

(c) y = –2x2 – 16x– 28

We have:

[tex]h = -\frac{-16}{-2\times 2}[/tex]

[tex]h = -4[/tex]

Substitute -4 for x in the function

[tex]k = -2x^2 - 16x- 28[/tex]

[tex]k = -2(-4)^2 - 16(-4)- 28[/tex]

[tex]k=4[/tex]

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

Hence, [tex]y = -2x^2 - 16x- 28[/tex] could represent the parabola

Read more about parabola at:

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In how many different ways can the letters of the word 'CORPORATION' be arranged.

Answers

Hey :)

The answer is 50400 ways

Because,
The word 'CORPORATION' has 11 letters.

It has the vowels 'O', 'O', 'A', 'I', 'O' in it and these 5 vowels should always come together.

These 5 vowels can be grouped and considered as a single letter. CRPRTN (OOAIO).

Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different.


Hope this helps!
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In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours? Instructions Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada: Weather icon. Top row has the following from left to right: Thu, Fri, Sat, Sun, Mon, Tue, Wed. For the weather, please put the following in order from left to right: negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each. Day 1: Day 2: Comparison of Day 1 and Day 2: ____ _______ Comparison of days with absolute value: ____ _______ Which temperature during the week is the closest to 0? Explain how you decided this using absolute value. Which temperature during the week is farthest from 0? Explain how you decided this using absolute value. Which is the coldest temperature? Explain how you determined this using the number line. Which is the warmest temperature? Explain how you determined this using the number line. Part 2: Weather Report Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions. What to Submit Name the assignment 03_06_AbsoluteValue _Your Name. In the Assessment Area, submit your work to 03.06 The Absolute Value. Rubric Look over the grading rubric to see how you will be evaluated. Perfect! Almost There! 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