x + y = 7
2x - 3y = -21

X + Y = 72x - 3y = -21

Answers

Answer 1
There is only one solution

When you graph both equations, they intersect therefore the intersection point tells you there is one solution. If it was infinitely many solutions then it would be the same line. If it was no solution then the graph would show to parallel lines.

X + Y = 72x - 3y = -21
Answer 2

Answer:

one solution

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−3y=−21:

2x−3y=−21

2(−y+7)−3y=−21

−5y+14=−21(Simplify both sides of the equation)

−5y+14+−14=−21+−14(Add -14 to both sides)

−5y=−35

−5y

−5

=

−35

−5

(Divide both sides by -5)

y=7

Step: Substitute 7 for y in x=−y+7:

x=−y+7

x=−7+7

x=0(Simplify both sides of the equation)

y = 7, x = 0


Related Questions

Polina’s math scores are shown in the table. Polina’s Math Scores Math Scores 72 65 75 88 90 What is the mean absolute deviation of her math scores? 5.4 6.4 7.8 8.8

Answers

The mean absolute deviation of Polina's math scores is 8.8.

The answer is D) 8.8.

What is the mean absolute deviation?

The mean absolute deviation (MAD) is a measure of variability that quantifies the average difference between the observations in a dataset and the dataset's mean. It is calculated by finding the average of the absolute deviations of the data points from their mean.

To find the mean absolute deviation (MAD) of Polina's math scores, we first need to find the mean of the scores:

Mean = (72 + 65 + 75 + 88 + 90)/5

Mean = 78

Next, we find the absolute deviation of each score by finding the difference between each score and the mean, taking the absolute value of the difference, and then adding up the absolute differences:

|72 - 78| = 6

|65 - 78| = 13

|75 - 78| = 3

|88 - 78| = 10

|90 - 78| = 12

Sum of absolute deviations = 6 + 13 + 3 + 10 + 12

Sum of absolute deviations = 44

Finally, we find the MAD by dividing the sum of the absolute deviations by the number of scores:

MAD = 44/5

MAD = 8.8

Therefore, the mean absolute deviation of Polina's math scores is 8.8.

The answer is D) 8.8.

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Answer:

d ( 8.8)

Step-by-step explanation:

/edge 2023/ sorry if I'm wrong , have a good day!

Sharon is in charge of water bottles for a school field trip.
She has 24 bottles with 500 mL of water each and 15 bottles with 1,000 mL each.
How many liters of water does Sharon have in all?

Answers

Answer:

The conversion rate is 1-liter equals 1000 milliliter.

Step-by-step explanation:

(24*500 + 15*1000) Total milliliters

(24*500 + 15*1000)/1000 Conversion Rate

Answer is 27 liters.

Please help, will mark brainliest!!!

Answers

Answer:

ok let h square be x square

640(3) + 6.25(40) + 8.75(60)

Answers

2695

Hope this helps you!

I just need an approximate value.

Answers

Answer:

1.898 ×10^27 kg for Jupiter

and for Neptune 1.024×10^26 kg

Answer:

Hola

Step-by-step explanation:

Name: Unit 4: Congruent Triangles Date: Per: : Homework 1: Classifying Triangles H page 2

Answers

It’s c if I got it wrong I am so sorry

Find a degree
4
polynomial having zeros

6
,

4
,
3
and
8
and the coefficient of
x
4
equal
1
.

Answers

Answer:

755757

Step-by-step explanation:

The height of a cylinder is 18 cm. The area of the base of the cylinder is 25 ㎠. Find V.

Answers

Its 150 cause V is 1/3*Area*height

Hello! Please ignore the stuff I already wrote, can someone help me find x and y?

Answers

Answer:

x=12

y=[tex]12\sqrt{3}[/tex]

Step-by-step explanation:

Hey There!

to solve this problem we need to use the 30 - 60 - 90 triangle rule

So you are correct on x because the hypotenuse is 2x

24/2=12

y would equal [tex]12\sqrt{3}[/tex]

as you could see in the image down below

Constructed line PQ is the _______________ of line segment CD.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Construction done:

1). An arc is drawn from point O which intersects line 'l' at two points C and D.

2). From the points C and D two equal arcs on both the sides of the line 'l' have been drawn intersecting each other at points P and Q.

3). Points P and Q have been joined with the help of a straightedge.

Hence constructed line PQ is the PERPENDICULAR BISECTOR of the line segment CD.

] Consider a randomly shuffled deck of ten cards labeled {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three to be drawn. Which one should be worth more points: A getting a pair of matching cards within the three, or B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third (e.g. 1 2

Answers

Answer:

B should be worth more points.

Step-by-step explanation:

Given -  Consider a randomly shuffled deck of ten cards labeled

              {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three

               to be drawn.

To find - Which one should be worth more points:

              A getting a pair of matching cards within the three,

              or B getting a set of three cards that can be arranged such

              that the sum of two of them is the value of the third.

Proof -

Given that, three cards has to be drawn.

So, total number of ways the card be drawn = ¹⁰C₃

                                                                      = [tex]\frac{10!}{3! (10-3)!}[/tex]

                                                                      = [tex]\frac{10!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8.7!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8}{3.2.1}[/tex]

                                                                      = 120

⇒¹⁰C₃ = 120

Now,

Given that, A getting a pair of matching cards within the three

Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);

                            (2,2,1),(2,2,3),(2,2,4),(2,2,5);

                             (3,3,1),(3,3,2),(3,3,4),(3,3,5);

                              (4,4,1),(4,4,2),(4,4,3),(4,4,5);

                              (5,5,1),(5,5,2),(5,5,3),(5,5,4) }

⇒n(A) = 20

Also,

B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third

Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }

⇒n(B) = 6

Now,

P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167

P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05

We can see that, P(B) < P(A)

⇒B should be worth more points.

rectangle phone is 20 inches wide and 25 inches tall and enlargement of that photo is 32 inches wide and 40 inches tall with a scale factor being used in large the photo

0.625

1.6

1.28

0.78

Answers

Probably 1.28 I did my best to solve it so that may help you good luck !

Help as quick as possible

Answers

The expression that is equal is d
9 divided by 8

The top number goes first then the second number goes second

CAN SUM1 please helppp!?♥️

Answers

Answer:

x = 32

Angle 1 = 96

Angle 2 = 84

Step-by-step explanation:

3x + x + 52 = 180

4x + 52 = 180

     -52     -52

4x = 128

divide by 2

x = 32

___________________

1 = 3x

3(32)

1 = 96

___________________

2 = x + 52

2 = 32 + 52

2 = 84

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

if z + 5 = 4 , what is the value of 3z + 6 ?​

Answers

Answer:

3

Step-by-step explanation:

z+5=4=>z= -1

3(-1)+6=3

ABC measures 140° and is bisected
by BD. What is mDBC= ?

Answers

Answer:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The measure of angle DBC from the given figure is 70°.

The measure of angle ABC is 140°.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Angle bisector BD is bisecting angle ABC equally, which is

∠ABC=∠ABD+∠DBC

⇒ 140°=∠DBC+∠DBC

⇒ 2∠DBC=140°

⇒ ∠DBC=70°

Therefore, the measure of angle DBC from the given figure is 70°.

Learn more about the angle bisector here:

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PLEASE HELP!!!!
Factor:
9a^2 - 121

Answers

Answer:

(3a + 11) (3a - 11)

Step-by-step explanation:

:))

- 12 = 2 + 5d + 2d
................

Answers

Answer:

-2

Step-by-step explanation:

12=2+7d

7d= -12-2

7d= -14

d= -14

-----

7

d= -2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-12 = 2 + 5d + 2d}[/tex]

[tex]\large\text{FLIP the EQUATION}[/tex]

[tex]\large\textsf{2 + 5d + 2d = -12}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}[/tex]

[tex]\large\textsf{5d + 2d = \underline{7d}}[/tex]

[tex]\large\textsf{2 = \bf 2}[/tex]

[tex]\large\textsf{-12 = -12}[/tex]

[tex]\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}[/tex]

[tex]\large\textsf{7d + 2 = -12}[/tex]

[tex]\large\text{SUBTRACT by 2 to BOTH SIDES}[/tex]

[tex]\large\textsf{7d + 2 - 2 = -12 - 2}[/tex]

[tex]\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}[/tex]

[tex]\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}[/tex]

[tex]\large\textsf{-12 - 2 = -14}[/tex]

[tex]\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}[/tex]

[tex]\large\textsf{7d = -14}[/tex]

[tex]\large\text{DIVIDE 7 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}[/tex]

[tex]\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}[/tex]

[tex]\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow[/tex]

[tex]\mathsf{\dfrac{-14}{7}=\bf -2}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A pool can be filled by one pipe in 8 hours and by a second pipe in 3 hours. How long
will it take using both pipes to fill the pool?
It will take about hours to fill the pool using both pipes.
(Type an integer or decimal rounded to the nearest tenth.)

Answers

Answer:

x=2.4 hours or 2 hours and 24 minutes together

Step-by-step explanation:

10. A tennis racquet costs $89.50. How much do you save when the store advertising that it will pay the tax?​

Answers

Answer:

It depends on the amount of tax. That also depends on the state of the sale.

Step-by-step explanation:

You save $5.82 if the store is giving paying for your tax. Please give me 5 stars

One cup of oatmeal is 300 calories, if you add milk, the calories increases to 340. What is the percent of increase?

Answers

Answer:

13.33%

Step-by-step explanation:

I hope that is useful for you :)

Name two angles that are adjacent to

Answers

< ABE and < CBD.
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.

which value of x makes the equation 12x -15 = 6 -3x

Answers

Answer:

x=7/5

Step-by-step explanation:

12x+3x=15+6

15x=21

x=7/5

Answer:

X= [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Ok...

Get ready to see Alot more numbers

1. Rearrange terms.

12x-15=6-3x

12x-15=-3x+6

2. Add 15 to both sides.

12−15=−3+6

12−15+15=−3+6+15

3. Simplify

If you add the numbers you will get:

12x=-3x+21

4. Add 3x to both sides of the equation.

12x=-3x+21

12x+3x=-3x+21+3x

5. Simplify

If you combine the like terms you will get,

15x=21

6. Divide both sides of the equation by the same term.

15x=21

[tex]\frac{15x}{15}[/tex] = [tex]\frac{21}{15}[/tex]

7. Simplify

If you cancel terms that are in both of the numerator and denominator, then divide the numbers you will get:

x= [tex]\frac{7}{5}[/tex]

I hope this helps     :)

Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes? ​

Answers

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

Pre calculus law of sines

Answers

Answer:

AB = 6.5

Step-by-step explanation:

C = 59°

AC = 7

CD = 6

AB = ?

Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)

AB² = 7² + 6² - 2(7)(6)*Cos(59)

AB² = 85 - 43.26

AB² = 41.74

AB = √41.74

AB = 6.5 (nearest tenth)

I need help with these
3 more than half a number is less than 20
2 times less than 16 is at least 50
100 is less than a number divided by 2.83

I just need them translated into numbers I can find the answer from there

Answers

Step-by-step explanation:

n/2 + 3 < 20

50 >= 16- 2n

n / 2.83 > 100

Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y

Answers

Step-by-step explanation:

=20x14x;14x2x0;8x17;3x0;5x0;5y

=280x28x13;84x0;25y

=7840x3;46y

=27 126;4y

I just want to know what the person above/under me said.

Step-by-step explanation:

thanks

How many 1/6 pound servings are in 10 pounds of chicken ? Pls help

Answers

Answer:

60

Step-by-step explanation:

1/6 * 60 = 60/6

60/6 = 10/1 = 10

The number of 1/6 pound servings in 10 pounds of chicken is; 60

Division of fraction

We are required to determine how many 1/6 pound servings are in 10 pounds of chicken.

Hence ; we have;

10 ÷ 1/6

10 × 6/1

= 60.

Read more on divisions;

https://brainly.com/question/1622425

need help geometry question central angles and arcs

Answers

Answer:

255

Step-by-step explanation:

180+75=255

Find the area of the square in inches 2 and enter your answer below. Do not include units in your answer.

Answers

Answer:

4 in²

Step-by-step explanation:

A= l * w

A= 2 * 2

A= 4

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