Solve the simultaneous equation:
2x+3y=13

X+2y=9​

Answers

Answer 1

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:


Related Questions

Find the indicated angle measure.
Find mZFEH
F
G
35
40°
H
E

Answers

Answer:

E

Step-by-step explanation:

Write the sum of 8n2 – 3n+ 10 and 3n2 – 6n – 7 in
standard form.

Answers

Answer:

Are these to seperate questions? I swear I will give you the answers just want to know, so I can give you the right answer :)

please help i’ll give brainliest if you help thanks

Answers

Answer:

5

Step-by-step explanation:

as the 2nd term is b, and the coeffiecnt is the number next to the term

find two numbers that have the given product and the given sum 12,8

Answers

Answer:

What?

Step-by-step explanation:

What is the equation of the line that passes through the point (-6,4)
and has a slope of -5/6

Answers

Answer:

y = -5/6x -1

Step-by-step explanation:

y-4 = -5/6(x+6)

y = -5/6x -5 + 4

y = -5/6x -1

The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field?

Answers

Answer:

7

Step-by-step explanation:

you divide 56 by 8 and you get 7

Width of the field is 7 yards

Given that;

Area of soccer field = 56 square yard

Length of one side = 8 yards

Find:

Width of the field

Computation:

Area of soccer field = Area of rectangle

So,

Area of soccer field = [Length of one side][Width of the field]

56 = [8][Width of the field]

Width of the field = 56 / 8

Width of the field = 7 yards

Learn more:

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Write the corresponding sides ad equal ratios

Answers

notice the corners; the corner on each triangle with one line is equivalent, and the same goes for the corner on each triangle with two lines, and the corner on each triangle with three lines. this is just a way to know which angles match up!

this means the answer would be:

D!

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

Answers

Answer:

108 cubes

Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?

Step 1

We find the volume of the cubes

Side length = 1/3 units

Volume of a cube = Side length ³

Hence,

(1/3 units)³ = 1/27 cubic units

Step 2

A rectangular prism with a volume of 4 cubic units.

The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:

4 cubic units ÷ 1/27 cubic units

= 4 ÷ 1/27

= 4 × 27/1

= 108 cubes

what's the product of 7/8 and 9/12​

Answers

Answer:

21/32

Step-by-step explanation:

The solution is, the product of 7/8 and 9/12​ is 21/32.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

7/8 and 9/12​

we have to find the product .

i.e. we have to multiply 7/8 and 9/12​

so, we get,

7/8 × 9/12​

= 7/8 × 3/4

= 7×3 / 8×4

=21 / 32

Hence, The solution is, the product of 7/8 and 9/12​ is 21/32.

To learn more on multiplication click:

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The measures of the exterior angles of a pentagon are c, 2x, 4x, 5x, and 8x, solve for x

Answers

Answer:

X = 18

Step-by-step explanation:

x + 2x + 4x + 5x + 8x =360

20x = 360

20x/20= 360/20

x=18

The value of x in the pentagon angles is 3.6

What are pentagon?

Pentagon are polygons with five sides.

The exterior sides of the pentagon are given as follows:

x2x°4x°5x°8x°

Exterior angles formula for polygon is as follows:

exterior angle = 360 / n

where

n = number of sides

Therefore,

x + 2x + 4x + 5x + 8x = 360 / 5

x + 2x + 4x + 5x + 8x = 72

20x = 72

x = 72 / 20

x = 3.6

learn more on polygon here: https://brainly.com/question/22387429?referrer=searchResults

PLEASE HELP ASAP THANKS


A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices

17

19

18

Answers

Answer:

17

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

find the missing value and please show how

Answers

Answer:

Step-by-step explanation:

∠YUV = 29 + 62  {Exterior angle property}

          = 91

Exterior angle property : Exterior angle equal the sum of opposite interior angles.

91 hopes this help brainless

What is the range of this data set?

1.9, 15.5, 1.3, 16.5, 5.5, 20.2, 12.1, 9.6, 16.8



14.9
16.3
18.9
20.2

Answers

In order from smallest to largest the answer is : 1.3, 1.9, 5.5, 9.6, 12.1, 15.5, 16.5, 16.8, 20.2
The answer is 18.9 because to find the range you subtract the smallest value (in this case 1.3) from the greatest value (20.2). That would get you 18.9, the range.

what is the answer for 0.2/n = 0.4/0.6

Answers

Answer:

n=0.3

Step-by-step explanation:

divide the numbers

0.2/n=0.4/0.6

0.2/n=.066666

then you multiply by the same dominator to both sides

n*.02/n=n*.066666

Cancel multiplied terms that are in the denominator

0 . 2 =

Answer:

N equals 0.3

Step-by-step explanation:

I just know

Please help as soon as possible!!!! Please explain your answer if possible!

Answers

Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

[tex]4 - 3x < - 2[/tex]

[tex] - 3x < - 2 - 4[/tex]

[tex] - 3x < - 6[/tex]

[tex]x > - 6 \div - 3[/tex]

[tex]x > 2[/tex]

Therefore, x > 2, so only option A is suitable for the x values.

M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘

Answers

The correct question is:

[tex]\angle QPS=88[/tex]  

[tex]\angle RPS=5x+34[/tex]

[tex]\angle QPR=8x+15[/tex].

Find ∠QPR.

Answer:

[tex]\angle QPR = 39[/tex]

Step-by-step explanation:

From the attached figure:

[tex]QPS = QPR + RPS[/tex]

This gives:

[tex]88 = 8x + 15 + 5x + 34[/tex]

Collect like terms

[tex]88 - 15 - 34 = 8x + 5x[/tex]

[tex]39 = 13x[/tex]

Divide both sides by 13

[tex]3 = x[/tex]

[tex]x =3[/tex]

Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]  

[tex]\angle QPR = 8 * 3 + 15[/tex]

[tex]\angle QPR = 24 + 15[/tex]

[tex]\angle QPR = 39[/tex]

Answer:

The right answer is 49, I did it on khan academy

Step-by-step explanation:

pls help will give brainliest!!
Do peppermint (candy, oils) help you to focus better? Why? How? Does it help you?

Answers

Answer:

It can but it only really works if use them when you study as well.

Step-by-step explanation:

basically what happens is when you eat/smell these things when your studying and you then smell/eat them while taking an exam/test it will usually help you remember the things you were trying to study. same thing for a certain scent calming you down it helps you remember things

Answer:

yes, the strong flavor and smell of peppermint can keep your mouth more alert and therefore your brain more alert (energizes your brain) it is also shown that peppermint stimulates the brain so that it improves memory, they can also help with concentration and focus.

plus the sugar gives your body some more energy to feed off of so you don't get tired

----------

hope this helps :)

-4 (x +3) = 8 can somebody help me

Answers

Answer:

x= -5

Step-by-step explanation:

-4 (x +3) = 8

-4x - 12 = 8

-4x = 20

x= -5

The answer is x=-5
You distribute to get
-4x-12=8
-4x=8+12
-4x=20
Divide both sides by -4
X= -5

Express 100cm:5m to it's lowest terms​

Answers

Answer:

1:5cm

Step-by-step explanation:

convert 5m to cm which is 500cm and then simplify which us 1:5cm

Answer:

1:5cm

Step-by-step explanation:

How much is a 20% tip on a meal that cost $42.50​

Answers

Answer: 8.5

Step-by-step explanation:

20%= 0.20

0.20*$42.50=8.5 (tip worth)

$42.50+$8.5= $51 (final price including tip)

Hope this helped :)

Nicky is trying to drink 2.5 liters of water a day. She drank 0.878 liters after breakfast,
1.2 liters after lunch, and 0.75 liters before dinner. How much did she drink
all together?

Answers

Answer:

2.8 liters

She drank 2.8 liters all together.

Step-by-step explanation:

0.878+1.2+0.75= 2.8

Nicky drank a total of 2.828 liters of water throughout the day.

To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.

0.878 liters after breakfast.

1.2 liters after lunch.

0.75 liters before dinner

Adding these values together:

0.878 + 1.2 + 0.75 = 2.828

Therefore, Nicky drank a total of 2.828 liters of water throughout the day.

To learn more on Addition click:

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helpppppppppppp meeeee plssss lpereira25

Answers

Answer:

1. Reflect across the y-axcis:

  1) (-1,-5)

  2) (0,-3)

  3) (-2,0)

  4) (-4,-2)

________________________

2. Reflect across the x-axis:

  1) (0,0)

  2) (1,-4)

  3) (2,-4)

  4) (4,0)

Do u wanna join

my

zoom

because its much better to tell/show u the answers...?

plz help if its to small press on the image and zoom in

Answers

Thats a lot of work to do i jus need more points

Answer:

1. 5 in squared

2. 7 cm squared

3. 12 ft squared

4. 12 m squared

5. 24 yd squared

6. 15 mi squared.

Step-by-step explanation:

Hope this helps. You can search up how to find area too! Like how to find area of square or triangle or trapezoid!

A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?

Answers

Answer:

33.33 feet

Step-by-step explanation:

First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33

Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.

Answers

Answer:

For this expression:

            a=15  , b=7 and c=4

Step-by-step explanation:

We are asked to find the value of a,b and c by representing the given expression:

in the form of:  

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

is also written as:

Hence, we get our expression as:

        Hence, we have:

     a=15, b=7 and c=4

a=15  , b=7 and c=4

Step-by-step explanation:

Just had this on a test!

Answer: a=15 b=7 c=4

Step-by-step explanation:

Good

Please help! would appreciate it​

Answers

Answer:

Step-by-step explanation:

here is what I got but I hope it helps :)


The Dodgers beat the Mets by 3 runs. There was a total of 19 runs scored in the
game. How many runs did each team score?
Dodgers:
Mets:

Answers

Answer:

The Mets had 8, and the Dodgers had 11

Step-by-step explanation:

8 + 11 = 19

11 is 3 more than 19

Answer:

Dodgers 11 - Mets 8

Step-by-step explanation:

The Dodgers hit a couple homers probably,

Mets hit runs that are equal to 2 grand slams,

Dodgers 11

Mets 8

In the year 2002, a company made $3.3 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2006, to the nearest tenth of a million dollars?

Answers

Answer:

The profit would be 7.7 million in 2007

Step-by-step explanation:

A

Question 14

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then 50 25 for each additional pound. Which expression ropresents the amount he earns for recycling p pounds of newspaper if p > 10?

5+0.25 (p-10)

(5 +0.25) P

5 +0.25p

5 (10) +0.25p

B

С

D

Answers

Complete Question

Question 14

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he earns for recycling p pounds of newspaper if p > 10?

a. 5+0.25 (p-10)

b. (5 +0.25) P

c. 5 +0.25p

d.5 (10) +0.25p

Answer:

5 (10) +0.25p

Step-by-step explanation:

Let the number of additional pounds = x

Hence:

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound.

The statement above is represented as:

$5 × 10 + $0.25 ×p

= 5(10) + 0.25(p)

Therefore, the expression that represents the amount he earns for recycling p pounds of newspaper if p > 10 is written as

5(10) + 0.25(p)

Option d is the correct option

What’s the value of Y?
What’s the measure of angle A?
What is the measure of arc DAB

Answers

Answer:

1. 9

2. 9

3. 101

Step-by-step explanation:

hope it helps:)

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