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

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!


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

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

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

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.

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.

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

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.

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

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.

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

pls help i really need this grade​

Answers

A. 4^5 is the answer

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

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 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

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:

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

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

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!

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]

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:

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

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! :)

witch one is greater 428,745 or 428,745

Answers

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

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

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:

How do you find co terminal angle of -445

Answers

Answer:

275°

Step-by-step explanation:

-445+360=-85+360=275°

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

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]

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