What is the solution to this system of linear equations?
X - 3y = -2
X + 3y = 16
A. (7, 3)
B. (3, 7)
C. (-2, -3)
D. (-3, -2)

Answers

Answer 1

Answer:

x=7 and y=3

Step-by-step explanation:

Step: Solve x−3y=−2 for x:

x−3y=−2

x−3y+3y=−2+3y(Add 3y to both sides)

x=3y−2

Step: Substitute3y−2for x in x+3y=16:

x+3y=16

3y−2+3y=16

6y−2=16(Simplify both sides of the equation)

6y−2+2=16+2(Add 2 to both sides)

6y=18

6y

6

=

18

6

(Divide both sides by 6)

y=3

Step: Substitute3foryinx=3y−2:

x=3y−2

x=(3)(3)−2

x=7(Simplify both sides of the equation)

Answer:

x=7 and y=3

Answer 2

Answer:

Step-by-step explanation:

2x = 14

x = 7

7 + 3y = 16

3y = 9

y = 3

(7, 3)

answer is A


Related Questions

Nevaeh pays a total of $24
for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

What is the cost per paint brush?

$12
12 dollars

$8
8 dollars

$4
4 dollars

$3

Answers

The cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Nevaeh pays a total of $24 for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

The cost for each set = 24/2 = $12

In each sets of paint brushes there are total of 3 brushes which cost $12

So, each brush cost = 12/3 = $4

Thus, the cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

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Volume is 48.2304 solve radius and height Is 6.4 m

Answers

If the volume and height of the cylinder are 48.2304 cubic m and 6.4. Then the radius of the cylinder will be 1.55 m.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The volume of the cylinder is 48.2304 cubic m.

And the height of the cylinder is 6.4 m.

Then the radius of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

48.2304 = π × r² × 6.4

          r² = 2.3988

           r = 1.5488

           r ≅ 1.55 m

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PLS HELP I NEED Q5 I NEED TO TURN IT IN

Answers

39 because it repeats the most

Scott is a software salesman. His monthly salary is $2400 plus an additional $70 for every copy of Math is Fun he sells.
Let S represent his total salary this month (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating S to N, and then graph your equation using the axes below.

Answers

2,400 + 70N = S

hope this helps ya mate

Please help
Thank you

Answers

1. Yes
2. A-2x
Hope this helps also I did this question and got it correct

Anyone know the answer to this?

Answers

A^+B^2 =C^2
6^2 + 1^2 = 37
Square root of 37= 6.08
Rounded to 6.1
Answer 6.1

A poll is taken at four different grocery stores to determine how far customers drive to shop at their store. The following information was gathered at the four stores. Customers That Drive < 5 miles Store W 52 of 100 Store X 68 of 75 Store Y 59 of 120 Store Z 28 of 50 If one customer is selected at random from each store, at which store would selecting a customer that drives less than 5 miles be a likely event?

Answers

Due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For each store, the proportion of customers driving less than 5 miles is given by:

Store W: 52/100 = 0.52.Store X: 68/75 = 0.9068.Store Y: 59/120 = 0.4917.Store Z: 28/50 = 0.56.

Hence, due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

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Which of the following has the greatest value?

Answers

Answer:  i believe it is D

Step-by-step explanation:

A = 4.4

B = 4.28

C = -4.5

D = 4.6

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. What is the finance charge on this loan?

Answers

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.

What is APR?

Suppose there is an initial amount as P.

The interest, or say charge on it is applied annually as 'C' amount.

Taking how much percent of P is C, we get:

[tex]APR = \dfrac{C}{P} \times 100[/tex]

Given;

Principal =$2,200

interest = $132

Service charge = $21.

To find finance charge we use

Finance charge (FC) = interest + service charge(SC)

= $132 + $21

= $153

Therefore

APR = Finance charge / Principal

= $153 / $2200

= 0.069 or 6.9%

Therefore, The finance charge on this loan is 6.9%.

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how do I do this??????? 2/3x-(1/2x+1)
btw need it simplified

Answers

Answer:

  1/6x -1

Step-by-step explanation:

"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.

__

  [tex]\dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}[/tex]

Pls, look at the picture for the question.

Answers

Answer:

the answer of the question is A


Help!, the questions are in the picture

Answers

21 cm
31

Those are the answers, good luck!

Mark brainlist

What is the slope of the line that passes through the points (0, -10)and (−4,−11)? Write your answer in simplest form

Answers

1/4
-11- - 10/-4-0= -1/-4=1/4

another oneeeeeeeeeeeeeee

Answers

Answer: C, 2 x 2 x 2 x 2 x 2 x 3

Step-by-step explanation: Hope this helps!

Find the product of the sum of 64 and 17 and the difference of 56 and 39.

Answers

Step-by-step explanation:

Sum of 64 and 17 = 44 + 17 = 81

Differences of 56 and 39 = 56 - 59 = 17

The product of the sum of 64 and 17 and the difference of 56 and 39 = 81 × 17 = 1377...

hope it helped !!!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the values of the variables for the parallelogram

m<1=5y-15


X=____,y=____,z=____

Answers

Answer:

x=5,z=4.5

Step-by-step explanation:

Given the angles are right angle i.e. 90°

90-9x = 90 - 10z

9x = 10z =45°(because diagonals bisects angles)

x=45/9

=5

z=45/10

=4.5

dhswer in the
4. Leela delivers
newspapers every
Saturday. She earns $3
for every 10 deliveries.
She earns an extra
$7.00 after every 50
deliveries.
How much will Leela
earn if she delivers to
100 homes this
Saturday?
(This is a toughie! Read the
information carefully. Use the back
to show your work)

Answers

answer:
$44

explanation:
100 deliveries means two 50 delivery bonuses, so $14. 100/10 = 10 so she gets ten $3 or $30. $30 + $14 = $44

What is in simplest form?

Answers

A simplest form is a fraction that both top and bottom have no common factors to besides than 1

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100m long and 62m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of a 2D form is the amount of space within its perimeter.  The area of the rectangular field is 9,219.07 m².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

At the end of the rectangular field, two semi-circles are used whose diameter is 62 meters, therefore, the radius of the circle is 31 meters(half of the diameter). The area of the semicircle can be written as,

[tex]\text{Area of 2 semicircles} = 2 \times \dfrac{\pi r^2}{2} = \pi r^2[/tex]

Area of 2 semicircles =  π(r²) =π × (31²) = 3,019.07 m²

The area of the rectangle is the product of its length and its breadth. Therefore, the area of the rectangle will be,

Area of the rectangle = 100 × 62 =6,200 m²

Now, the area of the rectangular field is the sum of the area of the 2 semi-circles and the rectangle.

Area of the rectangular field= Area of the rectangle + Area of the Semi-circle

Area of the figure= 3,019.07 + 6200 = 9,219.07 m²

Hence, the area of the rectangular field is 9,219.07 m².

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Help me please you’ll earn points

Answers

The attached diagram represents the required line plot

How to plot the line plot?

From the table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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please answer, it's really important

Answers

Answer:

Step-by-step explanation:

x² - 2x + 5 = 0

x² - 2x = -5

x² - 2x + 1 = -5 + 1

(x - 1)² = -4

(x - 1) = ±2i

17, 18, 22, 31, 47, ?

Answers

The next number would be 63

Answer:

72

Step-by-step explanation:

17+1=18

18+4=22

22+9=31

31+16=47

Fill in each of the missing parts of the hierarchy of the quadrilaterals. Include the properties of each of the figures.

Answers

Answer:

I just edited the file you linked.

Answer:

HERE IS THE REAL ANSWER!!! >

Step-by-step explanation:

I added the file so yeah also its correct!

( 3 × 10^ 6 ) + ( 3 × 10 ^6 )

Answers

Answer:

6000000

Step-by-step explanation:

3(106)+3(106)

=(3)(1000000)+3(106)

=3000000+3(106)

=3000000+(3)(1000000)

=3000000+3000000

=6000000

The pressure of a gas varies inversely with the volume (P = k/v). If the pressure is 150 kPa, and the volume 4 ML, what would the pressure be if the volume of the gas is 3 ML? If needed, round your answer to 2 decimal places.

Answers

Answer:

This is an Application of Boyle's Law.

Step-by-step explanation:

The relationship between the Pressure and Volume have been made available and is given as ;

P =k/v

Simply making k(constant) subject...

K =PV (With this, we can conclude that :

PV = P₂V₂

150 x 4 = P₂ x 3

P₂ = 150 x 4/(3)

P =200kPa

Now, This is all math.

But what really happened?

Pay attention.

The relationship between Pressure and Volume according to Robert Boyle in his Law, as stated in the question is P = k/v

This is an inverse relationship.

simply interpreted, It reads " When pressure increases by a certain factor, Volume decreases by that factor". This is the concept behind inverse relationships.

So from the question, Volume decreased from 4ML to 3L.

Initial Pressure was 150kPa.

According to Boyle, Pressure has to increase by 4/3

Therefore, New pressure is undoubtedly 150 x 4/3 = 200kPa

Have a splendid day.

What is the y-intercept of f (x) = 3.4’x?

Answers

Answer:

3

Step-by-step explanation:

Y intercept when x = 0

F(0) = 3 * 4^(0) = 3 * 1 = 3

are imaginary numbers real

Answers

Answer: hii

real :)

Step-by-step explanation:

"While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are "real" in the sense that they exist and are used in math. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations."

Hopefully this helps you

- Matthew

PLEASEEEE HELPPPPPP!!!!!!

Answers

Answer:

This graph represent a odd function since it has an odd number of degrees  while the others have like 4

f(-x) = -f(x)

What is the length of the missing side of this triangle?
A.2
B. 8
C. V2
D. 514​

Answers

Check the picture below.

Find the exact area of the shaded please helppp ILL GIVE BRAINLIESTTTTTT

Answers

Answer:

The exact area is [tex]5\pi[/tex]

Step-by-step explanation:

The area of the major circle is subtracted from the area of the minor circle (blank)

Major circle

[tex]r=\frac{6}{2} =3[/tex]

[tex]A=\pi r^{2} =\pi (3)^{2} =\pi (9)=9\pi[/tex]

Minor circle:

[tex]r=\frac{4}{2} =2[/tex]

[tex]A=\pi r^{2} =\pi (2)^{2} =\pi (4)=4\pi[/tex]

The shaded area:

[tex]9\pi -4\pi =5\pi[/tex]

Hope this helps

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