what is the solution set of these system5x-2y=17 and 4x-7=13?

Answers

Answer 1

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for x using the [tex]4x-7=13[/tex] equation by isolating terms containing the variable:

[tex]4x-7=13\\4x=20\\\fbox{x=5}[/tex]

Great! x is 5... let's find y.

Step 2:

Since we know the value of x, we can use what we know to find y using the other equation:

[tex]5x-2y=17\\[/tex]

Given that x=5, we can replace x with 5.

[tex]5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}[/tex]

I hope this helps! Let me know if you have any questions :)


Related Questions

Hello help me with these ones pls

Answers

Answer:

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

Please give brainliest :)

If you need more help with these types of equations reach out to me!

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

Divide 4000 into two parts such that 15% of the first part equals 25% of the second part.​

Answers

.15x=.25y 4000-x=y
X= entire first part
Y=entire second part

,15x=,25(4000-x)
.15x= 1000-.25x
2/5x=1000
2x=5000
x=2500

4000-x=y
4000-2500=y
y=1500

Check*

.15x=.25y
.15(2500)=.25(1500)
375=375

Would appreciate a brainlist ty :)
.

The radius is of a circle is 7 kilometers what is the area of a sector bounded by a 180 arc

Answers

Answer:

77 square units

Step-by-step explanation:

Taking π as 22/7

=>(180/360)×(22/7)×(7)^2

=>1/2×22×7

=>11×7

=>77  

Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).

Answers

Answer:

I think the answer is The x-intercept of the boundary line is (-3/2,0).

Step-by-step explanation:

the x-intercept of boundary line is (-3,0)

Step-by-step explanation:

hope it helps thanks❤

a classrom contains 25 children ,out of which 6 are girls.What percent are boys?​

Answers

Answer:

76%

Step-by-step explanation:

Number of students=25

Number of girls=6

Number of boys=25-6=19

% of boys=number of boys/number of students x 100

=19/25x100

=19x4=76%

A used automobile dealership recently reduced the price of a used compact car by ​%. If the price of the car before discount was ​$​, find the discount and the new price.

Answers

Answer:

$1674

$16926

Step-by-step explanation:

A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?

Discount = percentage discount x original price

0.09 x  $18,600 = $1674

New price = original price - discount

$18,600 - $1674 = $16926

Volume How many fluid ounces are in each size?



1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart



1 Quart = _________fl oz

Answers

Answer:

32

Step-by-step explanation:

a quart is four cups 8,16,24,32 so 32

Answer: 1 Quart is equal to 32 fluid ounces (oz).

Step-by-step explanation:

What’s the surface area and the formula for it?

Answers

Answer:

[tex]1440cm^{2}[/tex]

Step-by-step explanation:

SA=2lw+2lh+2wh - Formula

SA=2(12×20)+2(12×15)+2(20×15)

SA=(2×240)+(2×180)+(2×300)

SA=480+360+600

SA=1440

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.

Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.

What is the value of x?

5
10
20
25

Answers

Given:

In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

[tex]m\angle Q+m\angle R=180^\circ[/tex]            (Supplementary angles)

[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]

[tex](20+8x)^\circ=180^\circ[/tex]

[tex]20+8x=180[/tex]

Subtracting 20 from both sides, we get

[tex]8x=180-20[/tex]

[tex]8x=160[/tex]

Divide both sides by 8.

[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]

[tex]x=20[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Solve 12x + 5 = 4x + 37

Answers

Step-by-step explanation:

12x-4x=37-5

8x=32

x=32/8

x=4

Please help me out I don't remember how to do this

Answers

Answer:

D)

Step-by-step explanation:

0.04, 0.40, 4.04, 40.04

can somebody help me with this question ​

Answers

Answer:

90 Calories

Step-by-step explanation:

100 g Food contain 300 calories

so,

1 g food contain 3 calories

so 30 gm food = 30 × 3 = 90 calories

hope this helps....

Answer:

A. 90

Step-by-step explanation:

In order to solve this, we first have to write an equation based on the question. In our case, the equation is...

[tex]100g = 300cal[/tex]

(we know that in 100 grams of some food there are 300 calories)

Now we just have to find out how many calories are there in 30 grams of the same food. We do it in the following way...

[tex]100g = 300cal\\100g/3\frac{1}{3} = 300cal/3\frac{1}{3}\\\\30g = 90cal[/tex]

Therefore, there are 90 calories in 30 grams of this food.

Plz help meee <3 kitty’s

Answers

Answer:

linear means a line (that eliminates c and d)

as "X" increases the "Y" value "DECREASES" so the answer is "B"

Step-by-step explanation:

Answer:

B. Linear decreasing

Step-by-step explanation:

The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.

hope this helped. :)

?
A sprinter travels a distance of 100 m in a time of 9.67 seconds.
What is the sprinter's average speed rounded to 4 sf?

Answers

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=10.42m/s

Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110

Answers

Answer:

Why was Mrs Hallette unhappy when people asked about her son?

Step-by-step explanation:

Please help.............

Answers

Answer:

...........

2(x + 2) + 2x = 20

Answer:

x(x+2) = 20

Step-by-step explanation:

Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)

A number line is shown below. The
numbers 0 and 1 are marked on the line, as are two
other numbers a and b.
Which of the following numbers is negative? Choose
all that apply.

a-b
ab
-b
ab + 1

Answers

Answer:

-b

Step-by-step explanation:

1 is b and a negative sign shows that the number is a negative in -b there is a negative sign and b = 1 so this -b shows the number -1

Công ty A&T có thông tin về hàng tồn kho năm 20X0 như sau: - Giá trị hàng tồn kho: 6.000 triệu đồng (loại 1 là 2.000 triệu đồng, loại 2 là 4.000 triệu đồng). Hai loại hàng tồn kho này không cùng bản chất. Số lượng hàng tồn kho loại 1 dùng cho các hợp đồng bản hàng đã ký lớn hơn số lượng hàng tồn kho loại 1 hiện tại. -Cuối kỳ kế toán công ty đánh giá lại hàng tồn kho với các thông tin đáng tin cậy như sau: + giá bán ước tính của hàng tồn kho loại 1 là 2.000 triệu đồng, loại 2 là 4.300 triệu đồng + chi phi bán hàng, ước tính của loại 1 là 40 triệu đồng, loại 2 là 30 triệu đồng. Yêu cầu: Công ty A ghi nhận các nội dung kinh tế trên như thế nào theo chuẩn mực báo cáo tài chính quốc tế giá trị hàng tồn kho, giá trị thuần có thể thực hiện được hoặc dự phòng)?

Answers

Oh my god why so long

Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...

Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!​

Answers

25600

Do 80/100 * 80,000 to find how many voters actually voted (it should be 64,000). Then it says that 60% of those people voted for A, so that means 40% of them voted for B. Do 40/100 times 64,000

4. What is the unit rate for a pound of seed? Circle the correct answer choice.
Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25

Answers

Answer:  B) $1.75

===================================================

Explanation:

To get the unit cost, we divide the total cost over the number of pounds.

We can do this for any row

row one: ($17.50)/(10) = $1.75row two: ($35.00)/(20) = $1.75row three: ($52.50)/(30) = $1.75row four: ($70.00)/(40) = $1.75

You don't need to show all four row calculations. You can simply pick one row.

This tells us that each pound costs $1.75

Put another way: the price is $1.75 per pound

For a car to qualify as a High Occupancy Vehicle (HOV), it must have at least _____ people.


A.
4


B.
2


C.
varies


D.
3

Answers

Answer: i would like to sad it varies

Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies

Use any method you like to find the measure of angle A

Answers

A = 71.5 degrees (1 dp)

cos(A) = (21^2 + 16^2 - 22^2) / (2 x 21 x 16)
= 0.31696...
A = cos^-1(0.31696...) = 71.5 degrees

Determine the value of x.

A right triangle has 2 sides with a length of 6 centimeters. The length of the hypotenuse is x centimeters.

Answers

Answer:

6^2 + 6^2 = 72 sqrt(72) =     8.49

Step-by-step explanation:

use pythagorean therom a^2 + b^2 = c^2

where c is the hyp.

Answer: 6 sqrt 2

Step-by-step explanation:

Laura made 3 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 3 necklaces was $21.30. If the beads cost $3.90 for each necklace, how much did each pendant cost?

Answers

$5.80 because 21.3-3.9 = 17.4/3 = 5.8

what is the simplist form of 240/1000

Answers

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Find the area of the shape.

Answers

Answer:

Step-by-step explanation:

What 2 numbers add to get -9 and multiply to get -30?​

Answers

Answer:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

Step-by-step explanation:

Let be x the first number and y the second number.

So we have:

[tex]x+y=-9[/tex] (1)

[tex]x*y=-30[/tex] (2)

Solve x from equation 1 and put it into equation 2

[tex]x=-9-y[/tex]

[tex](-9-y)*y=-30[/tex]

[tex]-9y-y^{2}=-30[/tex]

[tex]y^{2}+9y-30=0[/tex]

Solving this quadratic equation and put it on the equation (1) the solutions will be:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

I hope it helps you!

Need help really badly please help .

Answers

Answer:

sin s = 36 / 42 = 18 / 21 = 6/ 7

sin R = 14 / 42 = 7 / 21 = 1 / 3

cos s = 14 / 42 = 1 / 3

cos R = 36 / 42 = 6 / 7

The equation |x-3| = 4 has what solutions?

Answers

Answer:

x-3=4

x=4+3

X=7

or

x-3=-4

x=-4+3

x=-1

-1 and 7

Step-by-step explanation:

Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.

So within the notation, we have two possibilities to the solution, a positive and negative value.

In other words, |4| = 4 and |-4| = 4

Hence, we only need to substitute x with an appropriate integer to satisfy the answer.

|x - 3| = 4

substitute x = 7

|7 - 3| = 4

|4| = 4

substitute x = -1

|-1 - 3| = 4

|-4| = 4

Therefore the solutions to x is x = 7 and x = -1.

How to solve it and explain it

Answers

Answer:

2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side ( hypotenuse ) be x , then

x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Other Questions
What adjective is the most precise for describing a character? 3.1Cht im chuyn ng thng vi phng trnh: x = 1 + 3t2 2t3(h SI, vi t 0). Cht im dng li i chiu chuyn ng ti v tr c ta : Preliminary, non-experimental, research that gathers information about behavior is called _______research. a method of carrying a patient out of tight quarters without equipment Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is 6 miles south and Casey is 8 miles east. At this time, Noel is walking at a rate of 2 mph and Casey is walking at a rate of 1 mph. How fast is the distance between them increasing at this time The owner of Leonardo's Pizza recently decided that Gainesville was too small for his business; he needed to expand. He has decided to open a new pizza parlor in Trenton so new people will be exposed to his famous pizzas, which until recently had only been enjoyed by the lucky people who live in Gainesville. Leonardo is trying to extend the life cycle of his brand so he can be in business for a very long time. Which strategy is Leonardo using to do this Which narrative technique does the author include in this excerpt, and how does it support the author's purpose? O The author uses dialogue to evoke a sense of happiness. O The author uses characterization to show bitter feelings. O The author uses structure to show the sequence of events. O The author uses setting to show a sense of accomplishment im losing my mind over this question :,) help asap would be amazingfind the length of c.- 12sqrt3- 16sqrt3- 12sqrt6- 16sqrt6 What do you think is more important eating health or doing exercise Vit mt on vn ngn khong 150 t Convert log_8 1=0 into an exponential equationo 1^0=8O 0^8=1o '8^0=1o '8^=8 describe the effect of temperature on transpiration rate the federal government can control states in matters of The triangle has area of 72cm^2 and base of 18cm find the perpendicular height of the triangle what kind human resource do you want to be future? give reason. add negative 4 plus negative 6 should i microwave a browney Complete the following passage by choosing the correct options, answer any four : the rag pickers of india (a) ----------- a pitiable sight. it is poverty that goads them to resort to rag picking. Day in and Day out they may be (b) ----------- on the roads, on the lanes and by lanes of a city or town looking for cast off clothes or something else showy and shoddy that may sell. More often than not, it is children who (c) ------ to rag picking. but some young men and women are also (d) ----------to take up the trade to make both ends meet. Why should innocent children (e) ------------ should be at this school at this age do this filthy job? It is because their parents are too poor to support them. (a) (i) presented (ii) present (iii) will present (iv) may present(b) (i) see (ii) seen (iii) were being seen (iv) are been seen (c) (i) have taken (ii) will take (iii) take (iv) shall take (d) (i) force (ii) forced (iii) will force (iv) may force (e) (i) whom (ii) who (iii) which (iv) that Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-graders who attend Harrys school, how many would be expected to ride the bus to school? Group leaders/ get/ Do/ free/ travel/ accommodation/ and? In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.