X-Y=9 and 2X+5Y=4 solve by substitution

Answers

Answer 1

Answer:

(7,-2)

Step-by-step explanation:

Answer 2

Answer:

(7, - 2 )

Step-by-step explanation:

x - y = 9 ( add y to both sides )

x = y + 9 → (1)

2x + 5y = 4 → (2)

Substitute x = y + 9 into (2)

2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side

2y + 18 + 5y = 4

7y + 18 = 4 ( subtract 18 from both sides )

7y = - 14 ( divide both sides by 7 )

y = - 2

Substitute y = - 2 into (1)

x = - 2 + 9 = 7

solution is (7, - 2 )


Related Questions

convert each fraction to a decimal then a percent 4/25 3/11

Answers

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​

Answers

Answer:

[tex]\boxed{\sf\: B)\:3^{12}}[/tex]

Step-by-step explanation:

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]

Apply exponent rule:

[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]

Add the numbers:

[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]

________________________________

4x^2 = 16

The solution to the equation is: ____?

Answers

[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]

Answer:

The solution to the equation is: ±2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Car Miles Driven Gallons Used

Car A 84 2

Car B 90 4.5

Car C 108 3

Car D 185 5

Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D

Answers

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Car A

Explanation:
Miles Driven / Gallons Used

A: 84 / 2 = (42 mi per gallon)
B: 90 / 4.5 = (20 mi per gallon)
C: 108 / 3 = (36 mi per gallon)
D: 185 / 5 = (37 mi per gallon)

a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there

Answers

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

I need help with this please

Answers

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? â€"4x3 14x â€" 24 square centimeters 2x3 â€" 6x2 â€" 14x 24 square centimeters â€"4x3 â€" 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.

Answers

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

[tex]b = (x - 4)[/tex]

The height of the parallelogram is represented by h

[tex]h = (2 {x}^{2} - 6)[/tex]

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

Learn more here: https://brainly.com/question/25601035

Answer:

B.  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

Have the day you deserve :)

solve pls brainliest


How can I use the scale factor to determine if a picture is a reduction?

Answers

Answer:

hope it's help pohh mark me brain less

Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?

(x, y) + (x - 5, y + 3)

(x, y) = (x - 3, y + 5)

(x, y) = (x + 5, y - 3)

(x, y) = (x + 3, y-5)

Answers

Answer:

The answer is (x, y) = (x + 3, y-5)

Step by step explanation:

So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).

Your Welcome. :)

hellp plsssss

I would love it if you did!

Answers

Answer:

1050

Step-by-step explanation:

bylon 3 x 68 =204

wool (3x3) x 94 =846

204 + 846 = 1050

he spent 1050 $ on materials

Answer:

$846

Step-by-step explanation:

I think it is sry if u got it wrong

Will mark brainliest (give me 2 possible answers pls)

Answers

Answer:

x+5/x+6

Step-by-step explanation:

x+5/x+6 is the only possible answer.


I used the Web Algebrator website to check my answer. Picture added.

what is the answer??​

Answers

Answer:

y= 4x+3

Step-by-step explanation:

To write your equation, solve for the slope.

(y2-y1)/ (x2-x1)

Find two coordinate points from the table.

(0,3) (1,7)

(7-3)/ (1-0)= 4

m=4

Use point-slope equation to find your equation.

(y-y1)=m(x-x1)

(y-3)=4(x-0)

y-3= 4x

y= 4x+3

Find the value of x so that the function has the given value.
n(x) = 5x + 8; n(x) = 23

Answers

x would be 3! Pretty simple


Mark is mixing blue paint and yellow paint in the ratio of 2 to 3 to make him pay he wants to make 45 L of green paint he be able to make a table to help him think about the problem but he’s unsure of what to do next marks for an Amanda is also mixing paint she wants to make purple paint by mixing 2 cups of blue paint and with the 4 cups of red paint Amanda mixes paint with is left with 48has a purple paint

Answers

Answer:

This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

Given:

Mark was mixing blue and yellow paint ratio of 2:3.

He wants to make 45 liters of green paint.

According to the question,

Blue : Yellow =  Green

2 : 3 : 2+3 (Given)

2 : 3 : 5

Therefore, he wants to make 45 liters of green paint.

So, 5 parts = 45 liters

Step-by-step explanation:

please mark me brainliest

Which expression is equivalent to 9(h + 2)?

Answers

Answer:

9h + 18

Step-by-step explanation:

9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.

A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km

Answers

First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations

Allen's daily regular wage is P1,420. This coming Christmas, his boss is asking him to work for 14 hours. How much is his DAILY RATE on that particular day?


Php 1,420

Php 2,840

Php 2,420

Php 1,840​

Answers

Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

This question is solved by proportions, using a rule of three.In a regular 8-hour day, Allen earns Php 1420. How much will he earn on a 14 hour day?

The rule of three is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

[tex]8x = 1420 \times 14[/tex]

[tex]x = \frac{1420 \times 14}{8}[/tex]

[tex]x = 2485[/tex]

The closest option is Php 2,420.

A similar problem is given at https://brainly.com/question/24372153

Simplify this expression
9xy ^4 x 3x^3y

Answers

Answer: 27x   by the power of 4 y  by the power of5

Step-by-step explanation:

Answer:

Refers to attachment

Step-by-step explanation:

All 136 students in the Math Club went on a field trip. Some students rode in cars which hold 4
students each and some students rode in buses which hold 30 students each. How many of each type
of vehicle did they use if there were 8 vehicles total?

Answers

Answer:

They used 4 buses and 4 cars

Step-by-step explanation:

136/30= 4.5 (which means we can full 4 buses)

If we fill 4 buses : 4x30=120

We have 4 vehicles left and 16 students left too.

4x4= 16

We can fit every studens in the cars.

Plzzz help meeee plzzzzz plzzzz

Answers

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

my Christmas present to you​

Answers

Answer:

Is this a points post or something? If so, thank you!

12. Name the angle included between AB and AD.

Answer fast

Answers

Answer: Either angle DAB or angle BAD

Explanation:

The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.

How does Shakespeare create an immediate mood of sadness around Romeo

Answers

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

Can you slove this please​

Answers

Answer:

y=85°

p=100°

Step-by-step explanation:

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

Answer:

y=85°

p=100°

I hope you get this right!!

:)

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

18/66 (or 27%)

Step-by-step explanation:

6/11 chance of pink and 3/6 chance of odd number

6/11 * 3/6 = 18/66

8. If the measure of one side of a square is increased by 2 centimeters and the measure of
the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is
32 square centimeters. Find the measure of one side of the square (the original figure).

Answers

Answer:

  6 cm

Step-by-step explanation:

If the original side length is x, then the modified square has an area of ...

  A = LW

  32 = (x +2)(x -2) = x^2  -4

  36 = x^2 . . . . . . . . add 4

  6 = x . . . . . . . . . . take the square root

The original figure has a side length of 6 cm.

__

Check

The modified figure is 8 cm by 4 cm = 32 cm^2.

Mo has a bag of sweets she has 3 chews and2 mints left Seh picks out a sweet what is the probability that she picks a mint

Answers

Answer:

2/5

Step-by-step explanation:

If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.

How do I do that I need desperat help pls

Answers

9 because 12 + is greater than/equal to 9+3

the area of a square whose length is 4.5 m

Answers

area of a square = length × length

a=4.5×4.5

G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles

Answers

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

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