Explain the three different types of solutions you can get when solving a system of
equations.

Answers

Answer 1

Answer:

There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution.

Step-by-step explanation:

 Explain The Three Different Types Of Solutions You Can Get When Solving A System Ofequations.
Answer 2

9514 1404 393

Answer:

no solutionsa finite non-zero number of solutionsinfinite solutions

Step-by-step explanation:

1. No Solutions

This case arises when the equations are inconsistent. No values of the variables can satisfy all of the equations. An example is ...

y = xy = x+1

__

2. Finite Number of Solutions

The number of distinct solutions depends on the degree of the system and the domain being considered. For example, an n-th degree polynomial equation in one variable will always have n solutions in the domain of complex numbers. However, it may or may not have any real-number solutions. (The question here has no context, so we have to assume it is about any system of equations of any degree or nature (rational, polynomial, exponential, mixed, or other.))

__

3. Infinite solutions

An under-specified system, such as a system of 3 equations in 4 variables, may have an infinite number of solutions. In such a system, one or more of the variables may be allowed to assume any value. Systems that have dependent equations will fall into this category.


Related Questions

Can somebody help???

Answers

Answer:

first box - 2.10

second box - 2.14

Answer:

2.10 & 2.14

Step-by-step explanation:

its basic adding by 2 yk

The number of candies in a large bag of M&M decreased by 25% between
last year and this year. Last year there were 60 pieces of candy inside each
of these bags. What is the candies inside the bag this year?

Answers

Answer:

the answer is 45 candies in the bag this year.

Step-by-step explanation:

60×.25=15

60-15=45

Can y’all help me on this question?

Answers

Answer:

134

Step-by-step explanation:

There's 2 blue arrows where 39 is, and the same arrows where 4x+7 are. This means that they are the same length. So, 4x+7 = 39. Perimeter means you add, so 28+28+39+39 = 134.

Please help me!!

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per month, and personal training sessions are $20 each. Part A: Choose the equation that can be used to find the number of training sessions needed in one month for both costs to be the same.

Answers

its the first one

Step-by-step explanation:

because per pertains to to x

will give brainliest
A worker at a clothing store earns a 15% commission on a sale of $75.00 (whole). How much is the commission? The 15% commission of $75 will be _____

Answers

Answer:

Step-by-step explanation: The commission will be a total of $11.25.

the commission would cost $11.25

pls help

Solve the following system of equations for x using elimination:
4x + y = 2
x - y = 3
-2.
3

Answers

1. x = (1/2 - y/4) + y = 2-4x

2.x = (3+y) - y = -3 + x

A pair of sneakers which normally costs $80 is on sale for $65. What is the percent markdown for the pair of sneakers?

Answers

Answer:

Your answer

18.75% discounted

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?

Answers

Answer: 18ft

Step-by-step explanation: I took the quiz and got 100%

The height of the tree is 8.3 ft.

To solve this problem, we have to find the angle of elevation from the student.

To do this, we have to assume or bring out a right angle triangle and solve for the.

Given that we have the distance of A to F and the point  to F

A to F = 5ftE to F = 6angle ?Trigonometric Ratio

Using trigonometric ratio,

We can find the tangent of this angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]

The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees

[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]

Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be

[tex]15 - 5 = 10ft[/tex]

Let's use the tangent of the angle to find the height of the tree.

[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]

From the calculations above, the height of the tree is 8.3 ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/10417664

Hue is arranging chairs. She can form 2 rows of a given length with 3 chairs left over, or 5 rows of that same length if she gets 15 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

X=4

Step-by-step explanation:

2x+3=5x+15

2x-5x=15-3

-3x=12

-3x/-3 = 12/-3

X=4

A right triangle has legs measuring 5 feet and 12 feet. If the legs of the triangle were doubled, what would be the difference in the original and enlarged perimeters?

Answers

Answer:

[tex]30[/tex]

Step-by-step explanation:

1. Approach

First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.

2. Find the original hypotenuse

Remember the Pythagorean theorem states;

[tex]x^{2}+y^{2}=z^{2}[/tex]

Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.

Substitute in the given value and solve,

[tex](5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z[/tex]

3.Find the perimeter of the original triangle

To find the perimeter of a polygon, one must add up the lengths of all the sides.

[tex]5 + 12 + 13\\\\= 30[/tex]

4. Find the new perimeter

In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.

New hypotenuse; [tex]26[/tex]

New perimeter; [tex]60[/tex]

5. Find the difference

Now all that is left is to subtract the new perimeter from the original perimeter;

(New_perimeter) - (original_perimeter)

= [tex]60 - 30[/tex]

= [tex]30[/tex]

I need help with this please

Answers

Answer:

x + 12 ft

Step-by-step explanation:

Area = base times height.  Here we know the area (x^2 + 9x - 36) and the width (x - 3).  Since area = length times width, divide the given area by x - 3.

x^2 + 9x - 36 factors into (x - 3)(x + 12).

Dividing this result by x - 3 yields the length:  x + 12 ft

6w = 21

Solve for w

Please show steps

Answers

Answer:

w=21/6

w=3.5

Step-by-step explanation:

I hope it's helps you

4(-W +8) I need help please.​

Answers

Answer:

4(-w+8)

Step-by-step explanation:

-4w+32

32dividedby-4

w=-8

help meeeeeeeeeeeeee

Answers

The number form is 152.7272727272727 now just convert into a mixed fraction

Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?

Answers

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

Principal = $2,400
Rate = 4%
Time = 30 months

Answers

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)  

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240   <-- The interest

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

The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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

* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

if y=3 then 14y equals

Answers

Answer:

42

Step-by-step explanation:

14(3)

Answer:

42

Step-by-step explanation:

first, substitute 3 for y in 14y. 14y means you are multiplying 14 and y, so when you plug in 3 for y, you're multiplying 14 and 3! :)

14y ⇒ 14(3)

simplify by multiplying 14 · 3.

14(3) = 42

so, when y = 3, 14y = 42.

you can check the answer by solving for y in 14y = 42.

divide both sides of the equation by 14.

14y/14 = 1y or y42/14 = 3

after dividing, you're left with y = 3. that means 14y does indeed equal 42 when y = 3! :)

i hope this helps! have a great rest of your day <3

Can y'all help me with this

Answers

Answer:16Hope this helps!! ♥︎

i need help please, ill give Brainliest

the product of 10 and the number Q
(its question 3)

Answers

Product means multiply
10 * q

Which line has a slope of -1/2? Line a, line b, line c, line d​

Answers

Answer: a

Step-by-step explanation:

Answer:

line d

Step-by-step explanation:

Helppp meee pleaseee

Answers

Answer:

I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5

HELP!!! Please I have a timer

Answers

The probability on club is 1 in 7. It is higher than expected

me need help on math plz help

Answers

Answer:

4 ;)

Step-by-step explanation:

78/75=1.04

Answer:

It would be A

explanation:

the reson why it is A because it is closest to 3%

your welcome

find the measure of angle A

Answers

Answer:

35 degrees

Step-by-step explanation:

Sum of angles inside a triangle is 180 degrees.

Right angle is 90 degrees.

180 = 90 + (x + 46) + (x + 66) = 2x + 202

x = -11

A = x + 46 = -11 + 46 = 35

When building a house, the number of days required to build is inversely proportional to with the number of workers. One house was built in 147 days by 4 workers. How many days would it take to build a similar house with 42 workers?

Answers

Answer:

14

Step-by-step explanation:

[tex]147 \times 4 \div 42 = 14[/tex]

It would take 14 days  to build a similar house with 42 workers

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  the number of days required to build is inversely proportional to with the number of workers.

One house was built in 147 days by 4 workers.

So,

147 x 4 = 588

Now the days to build a similar house with 42 workers

588/ 42 = 14

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Can someone help me please?

Answers

B and c if it’s an optional question

Answer: Hi

Step-by-step explanation:

The answer is b

complete the algebra terms with table and graph given y = 2x +3

Answers

It’s really easy all you have to do is plug in the numbers
(In order)
-1, 1, 3, 5, 7, 9

This will probably be the last one today so yeah help

Answers

Answer:

A = 974

Step-by-step explanation:

The formula for surface area of a rectangular prism is A=2(wl+hl+hw)

so yeah enjoy freedom for the rest of the day

Answer:

974 inches2

Step-by-step explanation:

Surface Area = 2×(11×8 + 11×21 + 8×21) = 974 inches2

PLS HELP!!!!!!!!!!!!!!!!!! THIS IS DUE SOON AND I DONT GET IT
PLSSSSSSSS HEELPPPP BRAINLIEST PROMISED AND 24 POINTS. PLS HELP!

Answers

Answer:

80

Step-by-step explanation:

im not sure i ever done this but 1x2=2 and 2x 40= 80

i dont know sorry im trying my bets

Somebody help please....

Answers

Answer:

4,096

Step-by-step explanation:

It goes like this 4 * -4=-16, 16*4=64, -64*4=256, etc.

You use the sum of the last number but flip the sin to make it opposite like if your some was + make it a negative to get your next product. Hope that made sense!!!!

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