The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

Answers

Answer 1

The question is incomplete, the complete question is:

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42

2x − y = 14

A: Multiply the second equation by -3. The solution is x = 12, y = 9.

B: Multiply the second equation by -2. The solution is x = 12, y = 10.

C: Multiply the second equation by 2. The solution is x = 15, y = 9

D: Multiply the second equation by 3. The solution is x = 12, y = 10

Answer: The correct option is D.

Step-by-step explanation:

The elimination method is a technique wherein we eliminate the coefficient of any one variable.

The given equations are:

x + 3y = 42

2x − y = 14

We multiply the second equation by (3) and the equations formed are:

x + 3y = 42

6x − 3y = 42

The final equation after eliminating the y-term becomes:

7x = 84

x = 12

Putting value of 'x' in any of the original equation, we get:

⇒ 12 + 3y = 42

⇒ 3y = 30

⇒ y = 10

Hence, the correct option is D.


Related Questions

What are the domain and range of the function represented by the table?

Answers

Answer:

Doman is always the x-intercept.

And Range is always the y-intercept.

Domain = {-5, 0, 5, 10, 15}

Range = {-1, 0, 1, 2, 3}

So the answer is C.

I think the answer is C

Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%. Round to the nearest tenth of a percent. [ ? ]% ​

Answers

Answer:

65.3%

Step-by-step explanation:

Binomial distribution PMF below (along with a description)

the probabilty of getting 2, 3, or 4 successes in 5 trials is just

p(2)+p(3)+p(4)

p(2)= 5C2*.4²*(1-.4)³ = .3456

p(3)= 5C3*.4³*(1-.4)²= .2304

p(4)= 5C4*.4⁴*(1-.4)=.0768

.3456+.2304+.0768= .6528

Which of the following best describes the graph of the polynomial function
below?
A. The graph has two zeros.
Ο Ο Ο
B. The graph has infinitely many zeros.
C. The graph has one zero.
D. The graph has no zeros.
SUBMIT

Answers

Answer:

C.

Step-by-step explanation:

the given graph touches the Y-axis in the point (5;0), it means the only zero.

To the additional: the graph is y=(x-5)².

pls help i really need this grade​

Answers

A. 4^5 is the answer

I need to find the area

Answers

Answer:

781

Step-by-step explanation:

you need to separe the two shapes, find the area of both, then add

Answer:

Hello! answer: 781

Step-by-step explanation:

There's multiply ways to solve this but What im going to do is find the area of the whole thing as if it didnt have a huge chuck cut out of it then i will find the area of that separately and subtract so...

41 × 29 = 1189

29 - 12 = 17

17 × 24 = 408

1189 - 408 = 781 therefore the area is 781 Hope that helps!

witch one is greater 428,745 or 428,745

Answers

They are the same amount. neither is greater or lesser than the other.

The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below.
8 cm
10 cm
6 cm
Part A
What are the actual lengths of the sides of the deck?
6 cm
8 cm =
10 cm =
Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answers

Answer:

27

36 ft

45 ft

$189

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

original dimension = (8 x 9) / 2 = 36

(10 x 9) / 2 = 45

(6 x 9) / 2 = 27

cost of deck = sum of sides x cost per square feet

sum of sides = 36 + 27 + 45 = 108

108 x 1.75 = 189

what is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}

Answers

Answer:

The domain is {3,6,−1,5,−4}

Step-by-step explanation:

Answer:

3,6,-1,5,-4.

Step-by-step explanation:

The domain is the x-value or the first number in the ordered pair. For example: (5,2). The x-value is 5 so that means that the domain is 5. Therefore, for this function, the domain will be 3,6,-1,5,-4.

If this helps please mark as brainliest

Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?

Answers

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]

So, the shortest distance from the campground to the waterfall is 7.61 miles.

I need help to find the value please

Answers

Answer:

13.928

Step-by-step explanation:

Pythagorean theorem. 13^2 + 5^2 = x^2

Answer:

this is easy

Step-by-step explanation:

valve of x is 30 add 13 into 30 = 43÷5 5/8

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120

Can someone please help for this question?

Answers

Write the conditions in algebra.
x = y + 2
3x + 4y = 8x - 20
From the first equation y = x - 2. Substitute for y in the second equation.
3x + 4(x - 2) = 8x - 20
3x + 4x - 8 = 8x - 20
7x = 8x - 12
So x = 12

You should always check your answers for simultaneous equations
y = 10 because x = y + 2
3 x 12 + 4 x 10 = 8 x 12 - 20?
36 + 40 = 96 - 20. This is true!

For a multi choice problem it would be faster to just try each value until one works

9.2\times 10^{-3}-1.3\times 10^{-3}
9.2×10
−3
−1.3×10
−3

Answers

Answer:

73

Step-by-step explanation:

9.2  x 10 - 3 - 1.3 x 10 - 3

92 -3 - 13- 3

73 is the answer if that the question

Answer:

[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]

What is the solution set of the equation x2 + 2x – 15 = 0?

Answers

Answer:

( x − 3 ) ( x + 5 )

Step-by-step explanation:

HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

; factor the left side of the equation

; (x−3) (x+5) = 0

set factors equal to 0

x − 3 = 0

or

x + 5 = 0

; so, x = 3  or  x = −5

How do you find co terminal angle of -445

Answers

Answer:

275°

Step-by-step explanation:

-445+360=-85+360=275°

Multiply (5x + 3) by (2x + 6) using the box method.

Answers

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

find the measure of the missing angles.​

Answers

Step-by-step explanation:

a is the answer to this question

Answer:

d=90   e=27    f=153

Step-by-step explanation:

The angle adjacent to d is 90 degrees. They both add up to 90. 180-90=190. D=90.

E is a vertical angle, congruent to 27.

E=27.

F is a linear pair with 27, which means it's supplementary (adds to 180). 180-27=153.

F=153.

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

17m-7

Step-by-step explanation:

product means multiplication so we multiply 17 times m.

17m

and 7 less than 17m is subtraction

17m-7

Answer:

17m-7

Step-by-step explanation:

m = The height

7 less than the product ( Multiply) 17 and m.

so 17m-7

In a right triangle, the ratio of the length of the side opposite acute angle to the length of the side adjacent to angle is called the tangent of angle .

Answers

Answer:

The given statement is "True"

Step-by-step explanation:

The right angle triangle is shown below:

The tangent value of an angle is given by the expression as shown below:

[tex]tan\alpha =\frac{a}{b}[/tex]

On the first day of camp,
5/8 of the skaters were beginners. Of the beginners, 2/6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation.

Answers

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Find the missing lengths of the sides.

Answers

Answer: x = 8, y = 8

Step-by-step explanation: If 8 is already on the exterior of the triangle then this means that every angle should also be 8. But, if this were an equilateral triangle, a triangle with equal sides, then ALL sides would HAVE to be 8. But since I don't have this information (if it's equilateral or not), then I can't be positive about this. Really hope this helps you!

Is it a function yes or no. 1,2,3,4,5,6.

Answers

1. no 2. no 3. yes 4. yes 5. no 6. no

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

Explica qué significan las variables "m" y "b" en la ecuación y = mx +b*

Answers

Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

describe fully the single transformation that maps A onto c

Answers

Answer:

They are different because they are not similar and they have different answer at the end

the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️

Answers

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

What are all numbers that equal to 30 in multiplication

Answers

Answer:

2 X 15 =30

3 X 10 = 30

5 X 6 = 30

6 X 4 = 30

10 X 3 = 30

Step-by-step explanation:

Find all real zeros of the function.
h(x) =-5x(x-2)(x^2-25)
If there is more than one answer, separate them with commas.

Answers

Answer:

6

Step-by-step explanation:

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

314 or 100pi cause u do 10 squared multiplied by 3.14


there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.

Answers

Answer:

Step-by-step explanation:

3:22

Answer:

6/50

Step-by-step explanation:

using probability

pink beads = 6

total beads = 44 + 6

= 50

6/50

3/25

therefore ratio

3 : 25

Other Questions
*LANGUAGE Q. What does the prefix 'dis' do to the word appeared in this sentence?The cat disappeared before her very eyes.a. It tells you that the cat appeared bigger than before. b. It tells you that the cat vanished. c. It tells you that the act appeared to be further away. Question 15Q. What does the prefix 'dis' do to the word appeared in this sentence?The cat disappeared before her very eyes.a. It tells you that the cat appeared bigger than before. b. It tells you that the cat vanished. c.It tells you that the act appeared to be further away.Section B: Write 10 idioms you know, the meaning and make a sentence with it Best of luck Collective noun for drawer Tom is throwing an baseball at an aluminum can,present an argument about the likely kinetic energy of the ball before and after.describe the evidence that would support the argument.present an argument about the likely kinetic energy of the can before and after.describe the evidence that would support the argument. Im stuck on this question plz help What is the significance of Juneteenth ? Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ? I need help with this algebra question Which passage from a narrative most clearly shows a transition in time?A. The construction had been going smoothly. All of a sudden, abeam collapsed.B. Gilbert smirked with satisfaction as he took out his wallet and paidfor the ticket.O c. Out of nowhere, she asked, "Do you love me?" I froze. I didn't knowwhat to sayO D. On the one hand, I loved him, but on the other hand, his parentswere so mean. Given the inequality, select all the values of x that make that inequality true 3(2k-1) CGB=79 the what is DGB ". . . some of the varieties will attain the size of elms if given room for their roots and a chance to spread their branches."What is the tone of the excerpt?informal and objectiveformal and objectiveinformal and subjectiveformal and subjective A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00. If the researcher had used an ANOVA to evaluate the data, what F-ratio would be obtained? a. F(1, 11) = 2.00 b. F(1, 12) = 16.00 c. F(1, 12) = 2.00 d. F(1, 11) = 16.00 Write an essay on the sights, sounds, tastes and smells of the busiest food street in your area. (Words limit 100 120) Find the volume of the cone. round your answer to the nearest tenth. between which two consecutive numbers does the square root of 90 lie what is the answer to 7m-6,m=8 Which statement best describes a characteristic of an ecosystem How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days andyou start with 96 grams Question is on the screenshot -2 1/4 divided by (3 1/3) =