Question

Classify the system and determine the number of solutions.Check all that apply.
x + 4 = y
5y = 5x + 35

infinitely many solutions
inconsistent
no solution
consistent

I put inconsistent and no solution am I right?

Answer 1

hehehe I saw that =P

Answer 2

xD yes a facepalm moment

Answer 3

I was about to say something about the $, sounded like an expensive matter or something

Answer 4

xD all it is, is system of equations...which I hate ._.

Answer 5

so... what makes you think is "inconsistent"?

Answer 6

well... the 2nd equation after its all done would be y=x+6 and it doesnt match x+4=y

Answer 7

well. do they have to match?

Answer 8

the idea of a system of equations is that they're not supposed to match

Answer 9

I guess not

Answer 10

but it would be nice

Answer 11

heheh it'd be nice? what for? :)

Answer 12

dress matching?

Answer 13

Because all you would have to say is Dependent and Infinite many solutions

Answer 14

so ok... so now we know they're no "dependent" with infinite solutions..... so.... what do you think? do they have a solution? have you tried solving it?

Answer 15

How O_O i don't know how D:

Answer 16

*flips table*

Answer 17

well. notice the 1st equation, it's saying that y = x+4

so if y = x + 4 let us use THAT in the 2nd equation

5y = 5x + 35 but we know that y = x+4 thus

5( x + 4 ) = 5x + 35 # now solve for "x"

Answer 18

they do not equal

Answer 19

o wait

Answer 20

hmmm what do you get?

Answer 21

so 5x-5x is 0x

Answer 22

x=15?

Answer 23

now I am assuming you fill in x to solve for y

Answer 24

y=19 x=15

Answer 25

i think i screwed up

Answer 26

ahhh.... I see , so there's NO SOLUTION

lemme make it simpler lemme solve for "y" on the 2nd equation \(\bf 5y = 5x + 35 \implies y = \cfrac{5x}{5}+\cfrac{35}{5}\implies y = x + 7\)

so notice, their slope, same slope, \(\bf y = \color{red}{1}x + 4 \qquad y = \color{red}{1}x+7\)

what does that mean? parallel lines have the same slope, thus they never meet
a solution to a system of equations is when the 2 equations meet, if they don't, well, there's no solution

thus the system is INCONSISTENT

Answer 27

o.o Oooooooo I see

Answer 28

Thank you for explaining it o:

Answer 29

Do you think you could help me with more kind person o.o

Answer 30

Thank you also may I add the Tunnel has light in my mind

Answer 31

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4KzQiLCJjb2xvciI6IiMxRTExQjAifSx7InR5cGUiOjAsImVxIjoieCs3IiwiY29sb3IiOiIjRDk3MTkyIn0seyJ0eXBlIjoxMDAwLCJ3aW5kb3ciOlsiLTExLjA0IiwiMS45NiIsIi0wLjkyIiwiNy4wOCJdfV0-

Answer 32

o:

Answer 33

Thank you that is the website of my dreams

Answer 34

Classify the system and determine the number of solutions.
Check all that apply.
7x + y = 13
28x + 4y = -12

consistent
infinitely many solutions
inconsistent
no solution

So with this one would you do the same thing?

Answer 35

so y=-7x+13

Answer 36

do the same, solve for "y" on each case to check their slope

Answer 37

28x + 4( -7x + 13)=-12

Answer 38

well. you don't need to solve it, just to check if it has a solution

Answer 39

28x +-28x + 52= -12

Answer 40

Oh

Answer 41

x=-64

Answer 42

solving the 2nd equation for "y", gives us y = -7x -3

Answer 43

notice their slopes \(\bf y=\color{red}{-7}x+13 \qquad y = \color{red}{-7}x -3\)

Answer 44

oooo -7x is the slope and -3 is the center point

Answer 45

same slope

Answer 46

yeap, that means the graph is just 2 parallel lines, they never meet, thus no solution, thus inconsistent

Answer 47

Is this inconsistent again then o.o

Answer 48

You beat me too it :P

Answer 49

har har

Answer 50

So it is just inconsistent right?

Answer 51

yeap

Answer 52

Thank you again :3

Answer 53

yw

Answer 54

Classify the system and determine the number of solutions.Check all that apply.
$8y - 24x = 64$
$9y + 45x = 72$

inconsistent
infinitely many solutions
consistent
dependent
one solution
independent

Answer 55

there is one more after this one