The solution to a system of linear equations could be ... (select all that apply)(4 points)

Question

Responses

The Y-Axis
The Y-Axis

The X-Axis
The X-Axis

The Point Where All the Lines Intersect
The Point Where All the Lines Intersect

Infinitely Many Solutions
Infinitely Many Solutions

An Ordereed Pair
An Ordereed Pair

The Graph
The Graph

No Solutions
No Solutions

A Single Number

Answer 1

The Point Where All the Lines Intersect
An Ordered Pair
The Graph
No Solutions

Answer 2

For a system of equations of the form y=mx+b where m is the slope and b is the y-intercept, the system will have
if the slopes are different.

Answer 3

The system will have a single point of intersection if the slopes are different.

Answer 4

Part B

How many solutions does the following system of equations have,
y=23x + 7


y=23x +10


Choose the correct option:

(1 point)
Responses

infinite solutions
infinite solutions

none of the above
none of the above

one soltuion
one soltuion

no solution

Answer 5

The correct option is "no solution".

Answer 6

Match the system of equations in the first column with their corresponding description.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=8x+4
y=2x+6
y=4x+3
y=4x+2
y=2x+7
y=2x+7

Answer 7

y=8x+4 - Line with slope 8 and y-intercept 4

y=2x+6 - Line with slope 2 and y-intercept 6

y=4x+3 - Line with slope 4 and y-intercept 3

y=4x+2 - Line with slope 4 and y-intercept 2

y=2x+7 - Line with slope 2 and y-intercept 7

Answer 8

Match the system of equations in the first column with their corresponding description.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=8x+4
y=2x+6
y=4x+3
y=4x+2
y=2x+7
y=2x+7

answer choices:

consistent and dependant
inconsistent
consistent and independant

Answer 9

y=8x+4 - consistent and independent

y=2x+6 - consistent and independent

y=4x+3 - consistent and independent

y=4x+2 - consistent and independent

y=2x+7 - consistent and dependent

Answer 10

Match the system of equations in the first column with their corresponding description.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

y=8x+4
y=2x+6

y=4x+3
y=4x+2

y=2x+7
y=2x+7

answer choices:

consistent and dependant
inconsistent
consistent and independant

Answer 11

y=8x+4 - consistent and independent

y=2x+6 - consistent and independent

y=4x+3 - consistent and independent

y=4x+2 - consistent and independent

y=2x+7 - consistent and dependent

Answer 12

WRONG not all of them are the same answer

Answer 13

Apologies for the incorrect response. Here are the correct matches:

y=8x+4 - consistent and independent

y=2x+6 - consistent and independent

y=4x+3 - consistent and independent

y=4x+2 - inconsistent

y=2x+7 - consistent and dependent

Answer 14

For the following system of equations, what is the value of x in the solution?(1 point)
The system of equation is x+3y = 6 and 6x-6y = 4

x=

Answer 15

To find the value of x in the solution, we need to solve the system of equations:

x + 3y = 6,
6x - 6y = 4.

Let's solve the system:

From the first equation, we can isolate x:

x = 6 - 3y.

Now substitute the expression for x in the second equation:

6(6 - 3y) - 6y = 4.

Expand and simplify:

36 - 18y - 6y = 4,
36 - 24y = 4.

Move the constant term to the other side:

-24y = 4 - 36,
-24y = -32.

Divide by -24:

y = (-32) / (-24),
y = 4/3.

Now substitute the value of y back into the expression we found for x:

x = 6 - 3(4/3),
x = 6 - 4,
x = 2.

So, the value of x in the solution is x = 2.

Answer 16

Part A

Rewrite the following system of equations in slope intercept form.
​​The system of equation is:

−6x+y = 10
−36x+6y=48


(1 point)
Responses

−6x=10−y
−36x=48−6y
negative 6 x is equal to 10 minus y negative 36 x is equal to 48 minus 6 y

y=6x+10
y=6x+8
y is equal to 6 x plus 10 y is equal to 6 x plus 8

y=6x+10
y=36x+48
y is equal to 6 x plus 10 y is equal to 36 x plus 48

None of the above

Answer 17

To rewrite the system of equations in slope-intercept form, we need to solve for y in terms of x.

The given system of equations:

-6x + y = 10
-36x + 6y = 48

For the first equation, rearrange it to isolate y:

y = 6x + 10

For the second equation, divide both sides by 6 to simplify:

-36x + 6y = 48
6y = 36x + 48
y = 6x + 8

Therefore, the system of equations in slope-intercept form is:

y = 6x + 10
y = 6x + 8

Answer 18

From the above slope intercept forms of the system of equations, the system has

Answer 19

The system of equations has no solution.