What does it mean for a point to be a solution to a linear equation?

For example, if I say, "(2,5) is a solution to the equation (y=2x+3)," how could you check my claim?

Answers

Answer 1

Answer:

In your equation y=2x+3 and you used 2 [from your point (2,5) ] as the value of x, then y=2(2)+3=7.

now if you plotted this, that point would be (2,7), not (2,5).

So (2,5) is not the solution.

Answer 2

(2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].

Let be linear equation [tex]y = 2\cdot x + 3[/tex], if we know that [tex](x,y) = (2, 5)[/tex] and we need to check is [tex]2\cdot x + 3 = 5[/tex] by algebraic means, that is, we solve for [tex]x[/tex]:

[tex]2\cdot x + 3 = 5[/tex]

[tex]2\cdot x = 2[/tex]

[tex]x = 1[/tex]

Hence, we conclude that (2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].

We kindly invite to check this question on linear functions: https://brainly.com/question/17088086


Related Questions

Evalutate the expression.
10- (-4) + (-4) -5 =

Answers

Answer:5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Please help me with this soon

Answers

Answer:

The answer is 20π

Step-by-step explanation:

C = dπ

C = 20π

Answer:

c, 40 feet

Step-by-step explanation:

if half the area of a circle is 20, the other half is also 20, so 20 plus 20 is 40

70 POINTS! Please help!

Answers

Answer:

don't know. um

1: diaganol

2: x, q, p

3: y, t, u

5: r

7: t,y

Step-by-step explanation:

Question:

Give two names for the plane?

Name three collinear points?

Name three coplanar points?

Name three points?

Name three lines?

Name one ray?

Name one line segment?

Answer:

Plane XYZ, Plane XZY

The points A , B and C lie on the line m . They are collinear.

The points D , B and E lie on the line n . They are collinear.

There is no line that goes through all three points A , B and D . So, they are not collinear.

The points P , Q , and R lie in the same plane A . They are coplanar .

'Line AB', 'Line BA', 'Line AC'

closest value of 19.7dived 0.0485

Answers

The answer is 406.2 :) yeah I agree with the person above ^

I DONT GET THIS HELPPP

Answers

Answer:

The answer is B: so 9

Step-by-step explanation:mark me brainlest and like

Please help me ASAP

Answers

if you need to factor the equation the answer is : (x-6) (x-5)

Can someone please explain why x= -2! ASAP!!

Answers

Because you add both negative x’s which is -2 and add the -6 in the right side so then it’s -2x=4
Divide and you get x=-2

9514 1404 393

Answer:

  x = -2 because that is the value that makes the equation true

Step-by-step explanation:

Minus signs are everywhere. They can all be eliminated by multiplying both sides of the equation by -1.

  -1(-x -6 -x) = -1(-2)

  (-1)(-x) +(-1)(-6) +(-1)(-x) = 2 . . . . . distribute the -1

  x + 6 + x = 2 . . . . . . . . simplify

  x + x + 6 = 2 . . . . . . . . rearrange

  (1 +1)x +6 = 2 . . . . . . . . factor, using the distributive property

  2x +6 = 2 . . . . . . . . . . . simplify

  2x +6 -6 = 2 -6 . . . . . . subtract 6 from both sides

  2x = -4 . . . . . . . . . . . . . simplify

  (2x)/2 = (-4)/2 . . . . . . . divide both sides by 2

  x = -2 . . . . . . . . . . . . . . simplify

x is -2 because that is the value we get when we apply the properties of equality to the equation. We can check to see if it works in the original equation.

Check

-x -6 -x = -2

-(-2) -6 -(-2) = -2 . . . . put -2 where x is

2 -6 +2 = -2 . . . . . . . . simplify the signs

-4 +2 = -2 . . . . . . . . . . add the first two terms (could do all at once)

-2 = -2 . . . . . . . . yes, the value of x=-2 makes the equation true

_____

Additional comment

The properties of equality we're concerned with here are the multiplication property of equality, the addition property of equality and the division property of equality. Respectively, these tell us that multiplying, adding, or dividing both sides of the equation by the same number doesn't change the value of the variable.

These properties are essential to understanding how algebra works.

Find the missing side
13 ft
5 ft
x

Answers

Answer:

Assuming you're referring to the sides of a right triangle, the missing side X would be 12.

Step-by-step explanation:

The Pythagorean Theorem states that the two legs of a right triangle squared and added together is equal to the hypotenuse squared. [tex]13^{2}[/tex] is 169, [tex]5^{2}[/tex] is 25, 169 - 25 = 144. Take the square root of 144 and you'll get 12, which is the missing side of the right triangle.

A car is 160 inches lorrg.
A truck is 7% longer than the car.
How long is the truck?
Explain how you got your answer.

Answers

The truck is 171.2%. if you calculate the percentage of 160 and add them together, you will get 171.2

what does y = -10x + 80 look like on a graph?

Answers

Answer:

I posted a picture on how it looks

Step-by-step explanation:

Hope this Hlepd

I hope this helps you out

The mayor's office held a community day for the study there were 392 people that attended 105 for those people were adults 89 boys the rest were girls how many girls were there

Answers

Answer:198 Girls were there

Step-by-step explanation:

Total number of people tthat attended the study = 392

Number of adults = 105

Number of boys = 89

Number of Girls= Total number of people attended the study - ( Number of adults + Number of boys)

392- ( 105+89)

392- 194

=198 Girls

PLS HELP IM TIMED!!
The polygon given below is a regular dodecagon.
What is the measure of _E?
- A) 75°
- B) 100°
- C) 150°
- D) 300

Answers

Answer: C) 150°

Step-by-step explanation: all the angles are the same

Answer:

c

Step-by-step explanation:

plz help, the picture is my question​

Answers

Answer:

c and d

Step-by-step explanation:

alternate interior angles are angles on different sides, but they at interior (inside)

Answers are 6 and 7, 2 and 3

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is
57feet and the statue subtends an angle of 7.1° to where you are standing. Find the height of the
statue
A. 13.3 feet
B. 6.4 feet
C. 34.2 feet
D. 8.5 feet

Answers

Answer: D.

Step-by-step explanation:

Hope it helps if so mark me brainliest.

Which is equivalent to (125)*?
125
125 3x
1253
125/5

Answers

Answer:

A

Step-by-step explanation:

it only makes sense, hope this helped

A is the only one that makes sense

The graph represents the relationship between x (the number of owls fed) and y (the number of rev dollars spent). What is the amount of money that will be spent to feed 10 owls? pls hurry

Answers

Answer:

Step-by-step explanation:

Since this is a test/homework, I'll give you a hint.

For a linear graph, if you took a ruler, and traced the "dots", it should always be in a straight line.

Another way, is finding a pattern. I can't really explain this so much, since it's fairly basic. Just find two dots, and see if they are similar in any way. If they are, good job! Find another. If their isn't, maybe try searching for another.

The third way: You could use the equation mx+b=y, but this is just a bit ridiculous for this problem, since you could just eye it.

Hope this helps!

Alex does 210 dabs in 6 minutes. He does his dabs at a constant rate.

How many dabs can Alex do per minute?

Answers

Answer:

35

Step-by-step explanation:

you need to divide 210 by 6 to get dabs per minute. 210/6=35. he does 35 dabs per minute

Answer:

He will be a quick dabber

so 35

Step-by-step explanation:

CORRECT ONE GETS BRAINLIEST!!!!!!​

Answers

Answer:

CD = 11 units

Step-by-step explanation:

See the drawing attached

GivenC is midpoint of ABB is between A and DAD = 15BD = 7Find CDSolutionCD = CB + BD = 1/2AB + BD = 1/2(AD - BD) + BD =1/2(15 - 7) + 7 =1/2(8) + 7 =4 + 7 =11

Question 7 What is (-29x= 14) + (-15x + 50)?​

Answers

Hello! I believe your answer would be:

-32/7, or as a mixed number, -4 4/7

hope this helped!

How many 1\8 teaspoons are equal to 4 3\4 teaspoons.

A. 18
B. 12
C. 1 7\12
D. 1 1\24​

Answers

Answer:

a

Step-by-step explanation:

Answer:

24 1/8 teaspoons are equ to 4 3/4 teaspoons

A person earns ​$17,000 one year and gets a​ 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.

Answers

Answer:

$17850

Step-by-step explanation:

Adding 5% of a number to that number is the same as taking 105% of the number.

Taking 105% of a number is the same as multiplying it by 1.05

This means that 105% of 17,000 is:

17,000*1.05 = 17850

im give 15 points if you know this phm

Answers

Answer:

The answer is option (D) 8.17 × 10^8...

Hope u like it

Answer:

d... 8.17 * 10^8

Step-by-step explanation:

(*゜ー゜*)do you know what it means?

PLEASE ANSWER ALL QUESTIONS 69 POINTS WILL MARK BRAINLIST

Answers

Answer:

See below

Step-by-step explanation:

Proportional relationship formula is:

y = kx

a) Use point (1, 3.5) to find k:

3.5 = k*1k = 3.5

b) Unit rate is:

cm per min

c) Point (8, 28) indicates:

Water level of 28 cm after 8 min

d) x = 20, y =?

y = 3.5(20) = 70 cm

Please Help :D
助けてください

Answers

Answer:

1. false

2. true

3. false

4. false

Step-by-step explanation:

1. 128 is not equal to 125

2. 119.7 = 119.7

3. 13.2 is not equal to 1.32

4. 5.88 is not equal to 12

please help and explain why, thank you

Answers

Answer:

Good morning all friend

WILL MARK BRAINISETS IF ITS RIGHT PLS ANSWER​

Answers

Answer:

livestock

Step-by-step explanation:

i think

Serenity is going to invest $130 and leave it in an account for 19 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Serenity to end up with $230?

Answers

Answer:3.0%

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

can anyone explain how to solve this using %/100 = is/of?

Answers

Answer:

20%/100 = 8 peeps / 40 items in the basket

(40 total items)

Step-by-step explanation:

Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,

1/5 = 8/x

x = 40

40 total items

Twelve pounds of beans are distributed equally into 9 bags to give out at the food bank.

How many pounds of beans are in each bag?

Enter your answer in the simplest form.

There are pounds of beans in each bag.

Answers

Answer:

1.33 or 1 1/3 pounds

Step-by-step explanation:

12 ÷ 9 = 1.33

HELP, it’s due in 30 minutes when my class ends. Will give brainliest

Answers

Answer:

Because elena must have went higher above ground

Step-by-step explanation:

Other Questions
Plz help with my homework add me on ins if do you gonna help me pls hairstyles2530 John went to the store and bought 2 1/2 pounds of chicken breasts for $9.00. Select the cost of 1 pound of chicken breast? Natural selection explains how _________________ change as their environments change. The arrows below represent the velocity of a car and a bus. scienceWhat does the length of each arrow represent?Group of answer choiceslocationvelocitydirectionspeed Which climate is a subcategory of temperate marine climates? O arid O humid subtropical O humid continental O tundra 7+x A store decreases its prices on all items by 30%. A pair of shoes that originally cost x dollars before the sale now costs x 0.3x. What is another expression to represent the new cost of any pair of shoes in the store? Find 3 equivalent ratios for4/12. Mrs. Little would like to set up each station to be able to make 64 pancakes. How many teaspoons of salt should be measured out for this quantity of pancakes? (Salt 3/4 tsp of salt) Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y Please I need help *question is in the photo* Change the following fractions to Improper Fractions1. 6 7/82. 5 6/93. 2 4. 1 4/55.7 2/3 1 : 2 = A. 1:2B. 2:5 C. 50:100 Negative feedback: If the body temperature is high, the rate of perspiration (sweat) should A. increase B. decrease Please help i dont know Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19 F? can someone please help me with this I'm being timed help asap Can yall help me please write a story problem that can be represented with the following equation:8x + 3 = 27 cmo es la parte exterior del planeta tierra