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
My name is Ann [436]
3 years ago
14

Which system of equations is consistent and dependent?

Mathematics
2 answers:
stira [4]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

Took it on Edge2020 :)

MAXImum [283]3 years ago
3 0

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

You might be interested in
Anybody please help me over here
padilas [110]

Answer:

i agree

Step-by-step explanation:

because when you multply 3.141592654 times 5 you get 15.70796327.

8 0
3 years ago
Read 2 more answers
#1,2,2,3,5,6,7 I need work shown also please help
laiz [17]
I’m not sure about the estimates but the overall answers should be correct

4 0
3 years ago
If g(x) = x+1/ x-2 and h (x) =4 - x , what is the value of ( g*h) (-3)?
Lapatulllka [165]

<u>Answer:</u>

g (h (x) ) = 5/8

<u>Step-by-step explanation:</u>

We are given the following two functions and we are to find the value of g ( h ( - 3 ) ):

g ( x ) = \frac { x + 1 } { x + 2 }

h ( x ) = 4 - x

Firstly, we need to find the function :

g ( h ( x ) ) = \frac { ( 4 - x + 1 ) } { ( 4 - x - 2 ) } = \frac { 5 - x } { 2 - x }

Now substituting the value x=-3 in it:

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

g (h (x) ) = 5/8

5 0
3 years ago
The equation x+53=15 can be solved by performing two operations on both sides.
Wewaii [24]
Hey!


You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53 

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em>  x = -38

Hope this helps!


- Lindsey Frazier ♥
3 0
2 years ago
Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y​
Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

<u>The system:</u>

{ 7x=-67-11y

{ 5x=-73-11y​

<u>Finding a value for x:</u>

7x=-67-11y -> x = -\frac{67}{7} - \frac{11y}{7}

<u>Solving for y by plugging in our x:</u>

[Equation] 5x = -73 -11y​

[Plug-in] 5(-\frac{67}{7} - \frac{11y}{7}) = -73 -11y​

[Distribute the 5] -\frac{335}{7} - \frac{55y}{7} = -73 -11y​

[Multiply by 7] 7 (-\frac{335}{7} - \frac{55y}{7}) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

<u>Plug in our y to solve for x:</u>

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0
2 years ago
Other questions:
  • A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meter
    6·1 answer
  • For the past three months Grace used her cell phone for 42 minutes,62 minutes and 57 minutes. How many minutes would she have to
    8·1 answer
  • Given 2x+y=6 perform the necessary operations to put equation into the proper general form.Explain in complete sentences how you
    6·1 answer
  • What is the product of (x - 9) and (2x - 7)
    5·2 answers
  • You spend 3 2/5 hours hiking and an additional 1/2 hour to rest.
    12·1 answer
  • Help click the picture to make it bigger!!! ASAP
    5·2 answers
  • 2.33333 x5355355 = plssssssssssssssssssssssssssssssssssssssssssss
    6·1 answer
  • If SJL = DMT, which segment corresponds to LS?
    8·1 answer
  • I need help plz answer fast
    6·1 answer
  • Why is math important in our everyday lives?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!