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

What is the coefficient of 3y+7?

Answers

Answer:

3

Step-by-step explanation:

it's 3 because the number is infront of a variable

PLEASE HELP QUICKLY!!!

Answers

Answer:

sunday

Step-by-step explanation:

i dont want brainliest give it to the other guy

help me this is due this period please please ill mark brainiest with a bunch of points.

Answers

Answer:

(-4,1)

Step-by-step explanation:

The answer is just where the two lines intersect

I'm rather tired so double check me on this but I'm getting about (-4,1) and it's asking for an approximation so think (-4,1) is fine

Answer:

It's around (-4. 5, 1.5). It's somewhere in that range.

pleaze help the question is in the picture

Answers

45+x is your answer

Answer:

A because we need the amount of time she played soccer for so we need to add the 2 days together

Step-by-step explanation:

ok can you pls answer this

Answers

Answer:

25 + m = h

hope this helps!

A teacher bought packages of 6 pens in each package. Another teacher bought packages of 8 pens in each package. If the teachers ended up buying the same number of pens, what is the least number of pens they could have?

Answers

Answer:

The least number of pens they could have is 24 pens.

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48

8: 8, 16, 24, 32, 40, 48

Answer:

24 is my answer

i hop it helps you

You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you constructusing these measurements?​

Answers

Answer: The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B. Thus, you can construct only one triangle using these measurements.

Step-by-step explanation:

Hope it helps mark me brainliest.

what is 9/32 + 7/8 plz help

Answers

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

Please mark as brainliest!

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Solution B is the one she should use

What is the area of the sector of the circle when the radius is 10 and the shaded part is 45 degrees

Answers

Answer:

We are solving for the area so; A=134.16

Step-by-step explanation:

Here is the formula for finding area of a sector:

A = [tex]\pi r^{2}[/tex] × θ° ÷ 360°

where theta is the angle of the sector you wish to find, and r is the radius of the circle.

Substitute the numbers in and you get:

[tex]\frac{25\pi }{2} unit ^{2}[/tex]

You should find 39.26991 as your answer (or any number rounded according to the value of pi)

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

How is the graph of y = - 4x2 – 5 different from the graph of y = -4x2?
A. It is shifted 5 unit(s) down.
C. It is shifted 5 unit(s) up.
B. It is shifted 5 unit(s) left.
D. It is shifted 5 unit(s) right.

Answers

Answer:

C. It is shifted 5 unit(s) up.

Step-by-step explanation:

The y-intercept of the first equation is –5. The y-intercept of the second equation is 0. This means that it moves up by 5 units.

Look at the image below for better understanding:


I am a multiple of 12 . i am between 40 and 50 . who could i be​

Answers

Answer:

48

Step-by-step explanation:

if its not right sorry

Evaluate the following expressions given x=6 and y=-3

Answers

a.

[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]

[tex] = 30 + 12[/tex]

[tex] \blue{ = \boxed{42}}[/tex]

b.

[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]

[tex] = 36 - 2[/tex]

[tex] \blue{ = \boxed{34}}[/tex]

c.

[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]

[tex] = {1}^{3} + 9[/tex]

[tex] = 1 + 9[/tex]

[tex] \blue{ = \boxed{10}}[/tex]

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

Hope it helps

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

please help! Giving points!

Answers

Answer:

Bee

Step-by-step explanation:

Ya like jazz?

Karen recorded the numbers of people getting off her tram. The mean number for 10 stops is 6.3. After the tram stops at the 11th stop, the mean is 8. How many people got off the tram at the 11th stop?

Answers

Answer:

32 people got off

Step-by-step explanation:For the 10th stop, we can get the total number of people that have gotten off

Mathematically, this is the product of the mean and the number of stops

= 10 * 6.3 = 63 people

Now, for the 11th stop, the total becomes

11 * 8.6 = 94.6

HELP PLS !!!!!!!!!!....

Answers

6- your welcome :)))))))

Helppp meee pleaseee

Answers

Answer:

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

i need help solving this question ​

Answers

Answer:

4 1/6

Step-by-step explanation:

First, you have to convert any mixed numbers to fractions.

Then your initial equation becomes:

25/8÷3/4

Second, you have to apply the fractions formula for division.

= 25 x 4

------------- (You will be dividing.)

  8 x 3

=100/24

And if you simplify 100/24, the answer will become:

4 1/6

I hope this helps.    :)

how do you solve this

Answers

Pretty sure it’s -8

write 8,000,000 in scientific notation ?​

Answers

Answer:

A: 8 x 10^6

Step-by-step explanation:

here are the ingredients needed to make 8 buiscuits 90g of butter 35g of sugar and 125g of flour hamid has 315g of butter 150g of sugar and 500g of flour work out the greatest number of buiscuits hamind can make (and how like the working out)​

Answers

Answer:

These ten cookie recipes that take less than 15 minutes will blow your mind

What can be better than sitting on a sofa, cuddled up in cozy blanket, sipping tea, and nibbling on a few (or more) fresh, delicious cookies after a long, cold day? You can argue that this situation is impossible; you're busy, and never have enough time or energy for baking yummy goods.

Here at Bright Side, we know how little time you have for desserts. That is why we put together a list of ten recipes for the best cookies that only take 15 minutes to make.

Coconut cookies

How do I find x in this problem?

Answers

Answer:

(6-2)×180 = 720

101+154+72+123+145+x=720

595 + x = 720

x = 720-595

x= 125


Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

Answers

Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I did the test.

A card is in the shape of a rectangle. The length of the card is 7 cm
and the area of the card is 35 sq cm. What is the width of the card in
centimeters?

Answers

lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.

-6(-3y-6)-10(6y-8) in simplest form

Answers

Answer:

Step-by-step explanation:

18y + 36 - 60y + 80

116 - 42y

Answer:

-42y+116

Step-by-step explanation:

Expand:

-6(-3y-6)-10(6y-8)

Simplify:

18y+36-60y+80

25 points. Which problem will graph as shown?

A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14

Answers

Answer:

D

Step-by-step explanation:

We can work backwards.

First, notice that we have an open circle. So, we do not have "or equal to." So, we can ignore A and B.

Our final answer is all values less than -3. So:

[tex]x<-3[/tex]

We can multiply both sides by 3:

[tex]3x<-9[/tex]

And then subtract 5 from both sides:

[tex]3x-5<-14[/tex]

So, the answer that matches this will be D.

Instead of working backwards, you can also just solve each inequality. Since we have an open circle, we only need to solve C and D. If we solve C, we get x > -3, and if we solve D, we get x < -3 (as desired). So, D matches the graph shown.

What is -1 1/3 in a decimal

Answers

Answer:

1.333

Step-by-step explanation:

if rounded then it's 0.333

if wrong I apologize

If x = 8, what is the value of 4x + 6?
I NEED HELP! I’m on a test!!

Answers

Answer:

=38

Step-by-step explanation:

Use substitution :3

4(8)+6=38

substitute x to 8 then calculate!

There you'll get your answer.

the required value of expression 4x + 6 is 38 when x = 8.

If x = 8, what is the value of 4x + 6 to be determine.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What are equations?

The equation is the relationship between variables and is represented as y = 4x +8 is an example of a polynomial equation.

Here, the expression is given as,
y = 4x + 8
now we have x = 8, put this x in y
y = 4(8) + 6
Solving the equation using the PEMDAS rule of mathematics
1St open the parenthesis of 8 then multiply this 8 by 4.
y = 4*8 +6
y = 32 + 6
Now adding 32 and 6 will give 38
y = 38

Thus, the required value of expression 4x + 6 is 38 when x = 8.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

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