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NikAS [45]
2 years ago
11

What is the solution to this system of equations?

Mathematics
1 answer:
bekas [8.4K]2 years ago
3 0

The solution is, there are infinitely many solutions to the system.

<h3>What is equation?</h3>

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

3x - y + 4z = -10...(1)

-x + y + 2z = 6...(2)

2x - y + z = -8....(3)

From (1)

-y= -10-4z-3x

y= 10+4z+3x

from (2)

y=6-2z+x

equating above equations

10+4z+3x = 6-2z+x

4+6z+2x=0

x+3z+2=0

Now, from (3)

-y= -8-z-2x

y= 8+z+2x

again equating

6-2z+x = 8+z+2x

-2-3z-x=0

x+3z+2=0

As, both equations are same it is not possible to solve further.

Hence, there are infinitely many solutions to the system.

Learn more about this concept here:

brainly.com/question/14659401

#SPJ1

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Which of the following inequality should be graphed with a dashed line? Select all that apply.
AURORKA [14]

Answer:

  B, D

Step-by-step explanation:

Any inequality that does not include the "or equal to" case will be graphed with a dashed line.

<h3>Application</h3>

The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).

The inequalities that will be graphed with a dashed line are ...

  • 2x -4y < 12 . . . . choice B
  • x +7 > -1 . . . . . . .choice D

7 0
2 years ago
Which values of k would cause this system of equations to have no solution? Check all that apply.
xeze [42]

Answer:

x= -2y/3

-4y+4y=14

0y= 14

This has no solution.

Step-by-step explanation:

Answer In cases of two equations having two unknown variables the simultaneous method of solving the equations is adopted.

Supposing “0” as the value of “k” we will have the equation as 3x+2y=0

Then separating variable x will give, x= -2y/3

Substituting the value of x into the first equation that is: 6x + 4y = 14

6(-2y/3)+4y=14

Expanding this we get: 6(-2y/3)+4y=14

-4y+4y=14

0y= 14

Thus, no solution.

5 0
3 years ago
Read 2 more answers
Winston's team participated in a total of 22 chess matches. Winston
Zepler [3.9K]

Answer:

Peter Jonathan Winston (March 18, 1958 – disappeared January 26, 1978) was an American chess player from New York City

Step-by-step explanation:

In late 1977, Winston attended a FIDE-rated tournament at Hunter College High School in New York City. Despite being one of the highest-rated players in the tournament, Winston lost all nine of his games. A few months later, on January 26, 1978, following further surprising game losses, Peter Winston vanished and was never heard from again. According to some sources, Winston's disappearance occurred when he left his home without money, identification, or luggage during a severe winter storm. Many chess players who were close to or acquainted with Winston claim that the champion chess player's mental health had deteriorated, along with his game performance, in the last few years of his life, and that the decline in his mental health may have led to his disappearance.

3 0
3 years ago
Read 2 more answers
A triangle has angle measurements of 53°, 27°, and 100°. What kind of triangle is it?
Artist 52 [7]

Answer:

Step-by-step explanation:

It's an obtuse.  A triangle is considered acute if all 3 angles are acute; it is considered obtuse if one of its angles is obtuse.  Ours has a 100 degree angle, so it is obtuse.

4 0
3 years ago
Which of the following inequalities matches the graph?
Alik [6]
A vertical line has an equation of the form x = k, where k is the x-coordinate of all points on the line.
You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is

x < -3
8 0
3 years ago
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