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
Daniel [21]
2 years ago
7

The matrix below represents a system of equations

Mathematics
2 answers:
harkovskaia [24]2 years ago
5 0
Dependent its on apex.
SOVA2 [1]2 years ago
5 0

Answer:

<h2>Independent.</h2>

Step-by-step explanation:

To know the type of the given system, we need to solve it.

The given system of equations is

\left \{ {{2x-31y=-2} \atop {2x+2y=42}} \right.

We can solve this system by multiplying the first equation with -1, and subtracting after

\left \{ {{-2x+31y=+2} \atop {2x+2y=42}} \right.\\\\33y=44\\y=\frac{44}{33}\\ y=\frac{4}{3}

Then, we use this value to find the other one

2x+2y=42\\2x+2\frac{4}{3}=42\\ 2x=42-\frac{8}{3}\\ 2x=\frac{126-8}{3} \\2x=\frac{118}{3} \\x=\frac{118}{6}\\ x=\frac{59}{3}

As you observe, the system has a solution, which is (\frac{4}{3}, \frac{59}{3}). That means the system cannot be inconsistent. because it has a solution. Remember that inconsitent systems refer to those that don't have any solution, that is, the lines are parallel.

On the other hand, <em>independent systems</em> are those where each equation produces a different line, and the solution is the interception of those lines, like this case. We have a solution and two different lines represented by each linear equation.

Therefore, the right answer is <em>independent.</em>

You might be interested in
If y = -5 when x = 2, find y when x = 8.
nasty-shy [4]

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

4 0
2 years ago
Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of
gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

8 0
3 years ago
Read 2 more answers
the cost of purchasing a lawn mower and trimmer if mower cost $2 more than twice the cost of the trimmer
11Alexandr11 [23.1K]
The answer is 3t+2 most likely

5 0
3 years ago
Read 2 more answers
LAST QUESTION!!!!!! WILL GIVE BRANLIEST!!!!! PLS JUST TAKE A LOOK!!!!!! SHARE YO SMARTNESS!!!!!!!!
Anettt [7]

Answer:

D

Step-by-step explanation:

D is more appropriate for distance formula because you are looking for the whole length between two points rather than the point in between the the two points such as in the other answers.

4 0
3 years ago
How many servings in a pound of spaghetti?
Marrrta [24]
It may be up to 3 thru 7
4 0
3 years ago
Other questions:
  • 1. write an algebraic expression for the phrase three times the sum of B and F. ​
    11·1 answer
  • Pythagorean theorem, I'm trying to fix my grade for school so I get my phone back
    14·2 answers
  • For the function f(x)=5x, which ordered pair will be a point on the graph of the function?
    7·1 answer
  • An ice-skating rink hosts different events on different days of the week they keep track of ages of the people who attended the
    5·1 answer
  • A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100 comma 000 potential donors on
    6·1 answer
  • I need to find the area. (please help me quick &amp; the answer and explanation plz) POINTS: 15! please give real answers!!!!
    6·2 answers
  • Please help with Volume
    13·1 answer
  • How do you find the definition of rhombus
    6·1 answer
  • PLZ HELP AND HURRY!!!!
    12·1 answer
  • The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on this constant rate of change, what is the cost
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!