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

The front of a vacation cottage is an equilateral triangle with a base of 44 feet. What is the height
x of the cottage above its foundation?

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Answer:

Step-by-step explanation:

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What is the ratio of the months with 30 days to the months with other than 30 days?




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The answer would be 1 to 2 .

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CB

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Answer:

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0.166666667

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166666667/1000000000

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Answer:

the y-intercept is 48; as for the other two questions I need to see your options before I can tell you the answer  

Step-by-step explanation:

1. All of the students in a class are younger than 12 years. Write an inequality that
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Answers

Answer:

a < 12

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What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

(2,-7)
(2,7)
(-2,7)
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Answers

ExplanationModulus Function

[tex]y = a |x - h| + k[/tex]

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

[tex]f(x) = |x - 2| - 7[/tex]

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

Answer

[tex] \large{(2,-7)}[/tex]

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Answer:

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Step-by-step explanation:

The figure below is composed of two quarter circles and one right triangle
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Answers

Step-by-step explanation:

it's probably A i guess.

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Answers

Answer:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

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Answers

Answer:

yes

Step-by-step explanation:

la verdad no te entiendo nose porque me salen las preguntas en inglés HAHA perdón:(

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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $250 for each ton of sugar
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What is the total cost of transporting 15 tons?

In the total cost is $8750, how many tons is the company transporting?

Answers

Answer:  Equation relating C to S   :

The total cost to transport 19 tons of sugar is $11, 250.

Step-by-step explanation:

Given : It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar transported.

Total cost =  $6500 + $250 x (amount of sugar transported ( in tons))

Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported.

Then, the equation relating C to S  would be :

When S= 19 , we get

Hence, the total cost to transport 19 tons of sugar would be $11, 250.

Multiply or divide the two numbers, If the signs are the same, then the answer is ____ *options* " positive or negative "

Answers

If two numbers of the same signs are being multiplied by each other, the product will always be positive. If two numbers of different signs are being multiplied by each other, the product will always be negative.

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Answers

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(y1 - y) = m(x1 - x)

y1 = 6 and x1 = 5 and m = -2

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Two plastic geometric models shaped like a triangular prism and a triangular pyramid are each 16 cm tall. The base of each model is a triangle with a base of 12 cm and a height of 5 cm. How much greater than the volume of the prism?

Answers

Answer:

320 cm difference

Step-by-step explanation:

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- Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
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Answers

Simple interest = principal x time x rate
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Step-by-step explanation:

work out

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Answers

Answer:

linear.

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Answer:

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Answer:

11/8 or 1 3/8

Step-by-step explanation:

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1  /8

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Answer:

Albert is running 6 miles an Hour while Tanisha is running 3 miles an Hour

Step-by-step explanation:

what is another name for intercept form?

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Answer:

Another name is This useful form of the line equation is sensibly named the "slope-intercept form".

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Step-by-step explanation:

Find the area of the triangle to the nearest tenth

Answers

Area= 8.1 11.3sin61
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Answer:

204.5

Step-by-step explanation:

Answer:204.5

Step-by-step explanation:

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

Answer:

I'm pretty sure it is 85 feet

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Answer:

5/9

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Answers

Answer:3/10 or 0.3

Step-by-step explanation:

a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to approximation pi

Answers

Answer:

37.68

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C(circumference)= 2pi r

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Answer:

37.68 for K12

Marcus works at an ice cream shop. He earns $10.50 each hour. Use Marcus’s timesheet for the week to answer the questions.



Date

Time In

Time Out

April 11

8:45

12:00

April 12

9:00

12:00

April 13

7:30

12:00

April 14

8:00

1:15

April 15

8:30

11:15





How many hours did Marcus work for the week?





How much money did Marcus earn for the week?




Marcus was offered a position which pays a salary of $150 every week and a 25 cent commission for each ice cream cone he sells. Marcus sells an average of 128 ice cream cones each week. How much will Marcus make in

the new position? Compare this to how much he made for a week at his current job. Should he take the new position? Why or why not?

Answers

Answer: he worked 31 hours and he earned $317.75

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What is the coefficient in the expression 10x + 8?
Stact

Answers

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant. So the answer would be 10

Answer:

10

Step-by-step explanation:

whenever a number is next to a variable it is always called the co efficient

Who ever gets it right first gets brainliest

Find the three-digit number using the three clues below.

The number 682 shares one digit with the number, and it is correctly placed.
The number 614 shares one digit with the number, but it is wrongly placed.
The number 296 shares two digits with the number, but they are wrongly placed.

Answers

Answer: 942

Step-by-step explanation: this was a tuff one!

Here, we are required to find the three-digit number using the three clues as given.

The three-digit number is 942.

Inference drawn from statements 1, 2 and 3 as follows;

Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.

Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placed

Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placed. The number 296 shares two digits with the number, but they are wrongly placed

This means the last digit is 2 as it is present as wrongly placed in statement 3 and it is correctly placed in statement 1.Statement 2 shows that 4 is among the 3 digit number, although it is wrongly placed in the number 614, it can only be the first of the second number.Statement 3 suggests that 9 is the other number present as it is evident from Statement 1 and 2, that 6 is not one of the three-digit number.And since, 9 is wrongly placed in 296, it can only take the first position, thereby leaving the second position to 4.

Ultimately, the three-digit number is 942.

Read more:

https://brainly.com/question/16889590

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