1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vitfil [10]
3 years ago
8

The solution of a system of linear equations is where the two lines intersect....

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

Step-by-step explanation:

True.

There is only 1 intersection point. That is the point where the x and y values are the same for both equations. For example if you have

y  = 2x + 5    and

y = 3x + 2

The intersect point is (3,11). If you put 3 in each equation for x, they  will return 11  for the y value.

I've included a graph to show you that this is true.

olchik [2.2K]3 years ago
5 0

Answer:

True

Step-by-step explanation:

The place where lines intersect is where the x and y values match up.

Just like this, if the lines do not intersect, there's no solution.

If the lines seem to be one line, there is all real number solutions.

Hope this helped!

You might be interested in
Which equation can pair with x-y=-2 to create a consistent and dependent system?
MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

x-y=-2

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

3(x-y)=3(-2) \\ \\ 3x-3y=-6

So a system of two linear equation that is consistent and dependent is:

\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.

<h2>Learn more:</h2>

Graph of lines: brainly.com/question/14434483#

#LearnWithBrainly

3 0
4 years ago
A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
Dima020 [189]

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

B - A = \frac{2}{2+3}(C - A)

B - A = \frac{2}{5}(C - A)

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

B - A = \frac{2}{5}(C - A)

x - 3 = \frac{2}{5}(5 - 3)

x - 3 = \frac{4}{5}

x = 0.8 + 3 = 3.8

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

B - A = \frac{2}{5}(C - A)

y - 4 = \frac{2}{5}(11 - 4)

y - 4 = \frac{14}{5}

y = 2.8 + 4 = 6.8

Thus the correct answer is:

(3.8, 6.8)

7 0
3 years ago
Read 2 more answers
Please help me ASAP!!
Sati [7]

The answer is D, i.e. the system was solved via elimination


If you multiply the first equation by 5, the system becomes


\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.


If you sum the two equations, you get


-16y = 32


And so if you substitute the second equation of system A with this new equation, you'll get system B.

3 0
3 years ago
Plz help!!!! Number 23
Minchanka [31]

Answer:

 (0 + m)/2, (0 + n)/2.

Step-by-step explanation:

The  x coordinate of the  midpoint must be halfway  between the x coordinates of  A and B, and the y coordinate must be  found in the same way.

So the midpoint is  (0 + m)/2, (0 + n)/2.

7 0
3 years ago
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Keith_Richards [23]

Answer:

false

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs, 144 thighs, and 224 wings. The staff had to prepare platters
    7·1 answer
  • :))) help por favor
    9·1 answer
  • -5(n + 3) = 6(n +4) + 5
    11·2 answers
  • a person walks 2/3 of a mile in 2/9 of an hour which complex fraction when simplified will compute the unit rate of miles per ho
    8·1 answer
  • You plan to purchase dental insurance for your three remaining years in school. The insurance makes a​ one-time payment of ​
    11·1 answer
  • Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. H
    5·2 answers
  • HELP! WILL GIVE BRANLIEST!
    14·1 answer
  • Sue baked 5 pies and cut each one into sixth. how much money would she make if she sold each slice for $0.75 ​
    5·2 answers
  • Does this represent a function?
    8·2 answers
  • WILL GIVE BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!