Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.

Answers

Answer 1

Answer:

only one solution

Step-by-step explanation:

Complete question:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Given the expression

2x − y = 2 .... 1

3x + y = −6  ..... 2

We are to determine the number of solution the equation has:

Add equation 1 and 2

2x + 3x = 2 - 6

5x = -4

x = -4/5

Substitute x = -4/5 into 1

From 1: 2x − y = 2 .... 1

2(-4/5) - y = 2

-8/5 - y = -2

-y = -2+8/5

-y = -10+8/5

-y = -2/5

y = 2/5

Since the value of x and y are just 1 hence the system of equations has ine solution


Related Questions

Game Stop is selling a video game for 15% off $35 . What is the sale price ?

Answers

Answer: $29.75

Explanation: 1-0.15 = 0.85,
35(0.85) = 29.75

Answer:

29.75

Step-by-step explanation:

5% of 35 is 1.75 so 1.75 times 3 equals 5.25, 35 - 5.25 = 29.75

help please
what is the product?

Answers

Answer:

−10x4+17x2y−6y2-10x4+17x2y-6y2

or the second option

Getting points because you got your answer



10x+whatever



If degree measures of the angles of A ABC are represented by 3x, x+10,

and 6x, then A ABC must be...

Answers

Answer:

30degrees

Step-by-step explanation:

The sum of angles of a triangle is 180

<A + <B + <C = 180

Substitute the given values

3x + x+10 + 6x = 180

10x + 10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

Get <A:

<A = 3x

<A = 3(10)

<A = 30degrees

Hence the measure of angle A is 30degrees

goes through the points (6,2) and (5, 4)

Answers

Sorry What do we need to look for here?

if 50% is 30 what is 75%​

Answers

the correct answer would be 45

That answer is 45 ask Siri

Maximum value of a+b if ab=36 is​

Answers

Answer:

-------------------------------------------------------------------------------

Step-by-step explanation:

Finding the factors of 36 and adding them together to get the greatest sum. 18(2)=36 18+2=20

Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

Solve 3b – 8 + 6 = 2(b + 6)

Answers

Answer:

b=14

Step-by-step explanation:

3b-2=2b+12

b-2=12

b=14

can somebody pls help me solve this question?

Answers

Answer: Im pretty sure its G

Step-by-step explanation:

Find the
area of
squar park, whose perimeter is
4640 m.

Answers

Answer:

1345600 meters squared

Step-by-step explanation:

devide the perimeter (4640m) by 4 and you get 1160m for each side of the square now you multiply that by itself to get 1345600 meters squared.

Answer:

Step-by-step explanation:

Square

Solve for area

A≈1.35×106m²

P Perimeter

4640

m a d a d d a P a A

Using the formulas

A=a2

P=4a

Solving forA

A=1

16P2=1

16·46402=1.3456×106m²

3 Prove that
cos130°+cos 110+ cos10=0​

Answers

We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2

So,

cos 130 + cos 110 + cos 10

cos 130 + 2cos (110+10)/2 × cos( 110-10)/2

cos 130 + 2cos 60 × cos 50

cos ( 180 - 50 ) + 2cos60 cos 50

We know, cos ( 180 - A ) = -cos A

2cos 60 cos 50 - cos 50

Also, cos 60 = 0.5

2×0.5 cos 50 - cos50

cos 50 - cos 50

0  = RHS.

Hence proved

Can someone help with the answer?

Answers

the correct answer is d!

What is the GCF of 35 and 47

Answers

Answer:

The GCF of 35 and 47 is 1

4/5 + v = 41/20
solve this plz and show me how you got the answer

Answers

Answer:

v = 1 1/4   (1.25)

Step-by-step explanation:

4/5 + v = 41/20

16/20 + v = 41/20

16/20          16/20

---------------------------

v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4

write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]


Select ALL the correct answers,

Select the scenarios that correctly represent the given graph

1. The amount of money in an account decreases for a few months and then increases.
2. The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
3. The sale of a product increases at first and then decreases.
4. The radioactivity of a substance decreases by 10% every year.
5. The speed of a car increases constantly by 10 miles per hour.

Answers

Answer :

Option (2) and Option (3) is the correct answer .

Required Explaination :

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

The graph of this scenario is a downward parabola. Therefore option 2 is correct.

Scenario 3 : The sale of product increases at first and then decreases.

The graph of this scenario is a downward parabola. Therefore option 3 is correct.

Therefore, the correct options are 2 and 3.

what is x i need it done soon

Answers

Answer:

C. 65

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

180-62-53 = 65

Please help.. Please. Is this a positive trend or negative trend or no trend ​

Answers

Answer:

it's a no trend cause its literally nothing but dots

the ratio of boys to girls in a class is 4:5 what frqction if the class are boys ​

Answers

Answer:

4/9 to 5/9

Step-by-step explanation:

So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.

Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles

Answers

Answer:

A.

Step-by-step explanation:

Both are positive values, so it's just four blue plus eight blue.

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2

Answers

Answer:

64π

Step-by-step explanation:

no

Item 6
At the beginning of the day, the temperature is -8°F. As the sun comes out, it warms up 19°F. What is the temperature once it warms up?
°F

Answers

Answer:

-8 + 19 = 11ºF

Step-by-step explanation:

Help please!!! will give brainliest

Answers

Answer:

Step-by-step explanation:kytiyfkutfdc

Which expression represents "8 times the difference of 52 and 9"?

Answers

Answer:

(52-9)*8

:):):):):):)

pls make me brainliest!!!

Answer:

8(52-9)=

8x41=

328

Step-by-step explanation:

You have a square that has a side length of $1$ centimeter. Each minute, $2$ centimeters are added to the side length. After $10$ minutes, what will be the difference between the area of the last square and the area of the initial square in square centimeters (do not include the units in your answer)?

Answers

Answer:

Difference in area of the last square and the initial square = 440 cm²

Step-by-step explanation:

Length of the side of a square = 1 cm

Area of the square = (side)² = 1 cm²

Addition of side length every minute = 2 cm

After x minutes length of each side of the square = (1 + 2x) cm

If x = 10 minutes

Length of each side of the square = [1 + 2(10)]

                                                         = 21 cm

Area of the square after 10 minutes = (21)²

                                                            = 441 cm²

Therefore, difference in area of the last square and area of the initial square

= 441 - 1

= 440 cm²

A scale drawing of a living room is shown below:


What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

17 ft2

41 ft2

495 ft2

103 ft2

Answers

Answer:

103 ft.

Step-by-step explanation:

Answer:

TrIaNgLe

Step-by-step explanation:

Which number line shows 1 to 4 divided into fifths?

Answers

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

HELP ASAP.

WILL GIVE BRAINLIEST

Answers

Answer:

yay

Step-by-step explanation:

ty

how many times can 200 go into 4879

Answers

Answer:

24

Step-by-step explanation:

24.395 times. Or 24 times if it’s to the nearest whole number.

Question
-2(8)=
I really need help please! I will pay u back with good things! :)

Answers

Answer:

-2(8)=16

Step-by-step explanation:

-2(8) is equal to -2 times 8/ -2 x 8

So 2 times 8 is 16, but since it's negative 2 it takes the negative sing

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