How do you know if there is no solution or infinite solutions?

Answers

Answer 1

There are countless possible solutions to some equations. In these equations, the equation is true regardless of the value given to the variable. If we try to solve an equation and receive a variable or a number equal to itself, there are infinitely many solutions to the equation.

Single-solution equations:

Some equations only have one precise solution. The variable in these equations can only take on one value in order for the equation to be true. When you solve an equation and the result is a variable equal to a number, you know that the equation only has one solution.

Example: For x, find the solution to the equation 6x-3=21.

6x \s= 24

To both sides, add 3.

x \s= 4

Subtract 6 from both sides.

For a single value of the variable, x=4, the equation is true. Consequently, there is only one solution to the equation 6x-3=21

Non-solvable equations:

There are certain equations with no answers. These equations don't have a value for the variable that would make them true. If you attempt to solve an equation and the result is false, the problem has no solutions.

Example: Solve the equation 4x+12=2x+12+2x.

4x+12

= 2x+12+2x

4x+12

= 4x+12 Combine like terms 2x and 2x.

12

= 12 Subtract 4x from both sides.

Since the equation 12=12 is always true, you can change the value of x to make it true. Therefore, 4x+12=2x+12+2x has an endless number of solutions.

Equations that have infinitely many solutions:

The number of solutions to some equations is limitless. When a variable is used in these equations, any value makes the equation true. If you attempt to solve an equation and it yields a variable or value that is equal to itself, then the equation has an endless number of solutions.

Solve the equation 4x+12=2x+12+2x.

4x+12

= 2x+12+2x

4x+12

= 4x+12 Combine like terms 2x and 2x.

12

= 12 Subtract 4x from both sides

Since the equation 12=12 is always true, you can change the value of x to make it true. Therefore, 4x+12=2x+12+2x has an endless number of solutions.

To learn more about no solution or infinite solution:

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Related Questions

What is the value of x?

Answers

Answer:

Step-by-step explanation:

2x + 12 + x + 1 + x+ 4

2x + x + x = 4x

12 + 1 + 4 = 17

Please helpp me
The angles shown are supplementary.
What is the value of x?

Answers

Answer:

x = 35

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

Remember:  The measures of supplementary angles add up to 180

In your case

3x + 15 + 60 = 180

3x + 75 = 180

3x = 105

x = 35

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A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?

Answers

Answer:

nuhmkjmkk

Step-by-step explanation:

yg huughbbbbh

find the mean absolute deviation
15, 17 l, 15, 17, 21 l, 17, 15, 23, 20, 18​

Answers

Im confused. Are those ones? What are those lines

Answer:

17.8

Step-by-step explanation:

:)

please helpppppppppppppp

Answers

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

"* A party rental company has chains and tables for rent. The total cost to rent 8 chairs and 3 tables is $42. The total cost to rent 2 chairs and 5 tables is $53 what is the cost to rent cach chair and each table?​

Answers

Answer: t= 10 c= 1.5

Step-by-step explanation:

Without solving, what can you tell about the solution to this equation? 0.002n + 15 = 2

Answers

Answer:

its easy

Step-by-step explanation:

cause it is

Explain in words where this graph is increasing.

Answers

Answer:

at the third quadrent the graph is increasing

at third quadrent

7. PART B: Select all the values of x that make the inequality below true. *
x>-1
A. -4
B.-2.
C. -1
D. 0
E. 1
F. 4

Answers

Step-by-step explanation:

its 4

-4y-11x= 36
20=-10x-10y
Solve each system by elimination

Answers

Answer:

x= -4. y=2

Step-by-step explanation:

please like my answer and brainliest me hshshshshs

Can someone help me with this triangle??
Find missing side lengths

Answers

Answer:

Y=75     x=75

Step-by-step explanation:

This is a scalene triangle and the total of the degrees will always be 180. So 180-30=150

since there are two sides split 150 in 2. 150 divided by 2 = 75

Graph a line with a slope of -3 that contains the point (4, -2).

(Just tell me where to put the points please)​

Answers

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

increase 320g in a ratio 5:2​

Answers

Answer:5/2/320=900

Step-by-step explanation:

Help, please! I need to get this done. :(

Answers

Answer:

saw this question on egde its b

The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourths yards wide. Part A Which equation models the best estimate for the area of the tarp?

Answers

Answer:

56 1/4 yards

Step-by-step explanation:

Area of the tarp = length × width

Length = 8 1/3 yards

Width = 6 3/4 yards

Area of the tarp = length × width

= 8 1/3 yards × 6 3/4 yards

= 25/3 × 27/4

= (25 * 27) / (3 * 4)

= 675 / 12

= 56 1/4 yards

Area of the tarp = 56 1/4 yards

which pair of polygons is similar

Answers

Answer:

Step-by-step explanation:

c. trust me im right

hello i need help fast​

Answers

Answer:

486

Step-by-step explanation:

Find the value of x.

Answers

Answer:

e

Step-by-step explanation:

please help, tysm if you do :D

Answers

Answer:

I think it is C I don't really know but try C


[tex](x + y) ^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

(x + y) 2

x2 + 2xy + y2

Answer:

Step-by-step explanation:

This is an example of "the square of a binomial."  There is a formula for such cases;

(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)

Thus, our (x + y)^2 = x^2 + 2xy + y^2

HELP ME ASAP!!!!!!!!



SEE PIC ATTACHED


FRIEND REQUEST ME AND I'LL ACCEPT ALSO YOU WILL GET THANKS, BRAINLIEST AND A STAR RATING OF EXCELLENT! Good Luck!

Answers

Step-by-step explanation:

a. 6 £/hr

b. 6.8 £/hr.....is this right?

Answer:

B) 1 hour = £10

Step-by-step explanation:

the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10

Plz help question is in pic!
will mark brainliest

Answers

should be 105.4 ft because you are finding the perimeter not area

The table below shows the low temperature in a town each day for four days. Which of the following lists the temperatures in order
from least to greatest?

Answers

Answer: 1,-3,5,-8

Step-by-step explanation: I have the same questions

Please help with this

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

18.12+ 93.3 111.42

Step 2 :-

111.42 - 16.7 94.72

Hope it helps!

Follow me! ;)

For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 32 = 9 outcomes. What is her error? Explain. Because there are choices for the first item and for the second, there are possible outcomes.

Answers

Answer:

The explanation is given below

Step-by-step explanation:

Her error is that she multiplied the possibilities of her meal that involves eggs with milk, granola & oatmeal but the possibilities involves orange juice with egg and granola & oatmeal

Now

If she choose milk so she can select eggs, granola, and oatmeal so there are 3 possibilities also with the orange juice there is 3 possibilities

So, the sample space is

= 3 + 3

= 6 outcomes  

Factor: x2 + 30x – 70​

Answers

Answer:

x=

295

−15≈2.175564037

x=−

295

−15≈−32.175564037

Step-by-step explanation:

Answer:

x^2+30x−70

Step-by-step explanation:

Let's simplify step-by-step.

x^2+30x−70

There are no like terms.

What is the solution to the following system of equations? (-7x - 4y = 29,
3x - y = -7)*
A. (-5, -8)
B. (1,-9)
C. (0,7)
D. (-3,-2)

Answers

The answer is D: (-3, -2)

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3​

Answers

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or  y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3:  3y = -2x - 2

Now add 2x to both sides, obtaining:  2x + 3y = -2 (in "standard form."

Someone help me solve for x.

Answers

Answer:

y=6

Step-by-step explanation:

Thats my answer hope it helps

How many feet are in 32 yards?

384 feet

320 feet

96 feet

35 feet

Answers

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

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