Question

@DanJS In which quadrant does the solution of the system fall?
a. 1
b. 2
c. 3
d. 4
In which quadrant does the solution of the system fall?
a. 1
b. 2
c. 3
d. 4
The cost of four scarves and six hats is $52.00. The cost of two hats is $1.00 more than the cost of one scarf. What is the cost of one scarf?
a. $4.00
b. $5.00
c. $6.00
d. $7.00
Please help!

Answer 1

oops i forgot to put the equations for the first two

Answer 2

Here: #1: y=x-1 and y=-3x-5 #2: x+y=4 and 2x-y=2

Answer 3

@DanJS hurry!!!

Answer 4

sorry

Answer 5

y = x - 1
y = -3x -5

Answer 6

Y= something
Y = else

something = else

Answer 7

solve

x - 1 = -3x - 5

Answer 8

idk how really ;( i sent an email to my teacher early this morning but she hasnt replied:(

Answer 9

ok, i will help you, as long as you know how to add and subtract we are good

Answer 10

i do duh :P

Answer 11

y = x - 1
y = -3x -5

Here they tell you y = something, and y = something else, y = both of those things, so we can set both of those things equal to each other...

x - 1 = -3x - 5

see that part?

Answer 12

yes i do and i understand it

Answer 13

x - 1 = -3x - 5

The objective is to isolate x all by itself. You can do that by adding, subtracting, multiplying, whatever you want to do. You just have to make sure you do whatever on both sides of the equal sign , so that you dont alter the original equation.

Answer 14

so what do i do?

Answer 15

yep ok

Answer 16

The first thing, is to move any of the terms with an X to the same side, you can ADD 3x to both sides of the equation...

x + 3x - 1 = -3x + 3x -5

Answer 17

yep

Answer 18

you can add together terms containing x, x + 3x = 4x, and -3x + 3x = 0

Answer 19

4x - 1 = -5

Answer 20

oh and then now you add one to both sides, right?

Answer 21

4x=-4?

Answer 22

yep, you are getting the hang of it

Answer 23

and then that would be x=-1

Answer 24

exactly, you just divided both sides by 4

Answer 25

Now that you know X = -1
you can use that information in one of the original equations, and find Y

y = x - 1
y = -3x -5

Answer 26

Y should be the same if you put -1 in either of those equations

Answer 27

well actually i dont need to do that. now i graph it and find out what box it is in

Answer 28

1 2 3 or 4

Answer 29

do you know? and can you help me graph it so i can figure this out?

Answer 30

you really don't have to graph it

Answer 31

if you found x = -1, and find y from one of the equatons,

y = x - 1 ; x = -1

y = -1 - 1 = -2

y=-2 and x=-1 is the solution to those two given equations

Answer 32

that is the point (x,y) = ( -1, -2)

Answer 33

so it would be in box 3

Answer 34

right

Answer 35

that is the intersection point , if you graphed those two lines

Answer 36

yep thanks:) now next question please

Answer 37

x + y = 4
2x - y = 2

There are a couple ways to solve this, you could do the same thing as the last one, if you solved both for y = first, then set them equal like last time

Answer 38

Here is the way i would do it...

Answer 39

x + y = 4
2x - y = 2 ADD THEM TOGETHER
-------------
3x + 0y = 6

3x = 6

Answer 40

see how the Y variable is 0 when you add the two equations together

Answer 41

ok x is 2 then

Answer 42

so what would be the equation to graph it?

Answer 43

it just asks , what quadrant is the solution in, same as last time, you have to figure what Y is first when x is 2

Answer 44

x + y = 4
2x - y = 2

and x=2

what is y?

Answer 45

ok well we know x is 2, so the equation would be: i think it would be 0
cause what i got is 0y=-2x

Answer 46

where did you get 0y = -2x from?

Use one of the original equations, and put in x=2,

x + y = 4
2x - y = 2

Answer 47

oh ok. it would be y+2x=2 and then you subtract 2x from both sides, so it would be y=-2x+2 i think :P :(

Answer 48

no, replace x with 2

x + y = 4

2 + y = 4

or

2x - y = 2

2*2 - y = 2

Answer 49

so 4-y=2

Answer 50

so y is 2 because 4-2=2

Answer 51

yes,

2 + y = 4

all you have to do to get y, is take off 2 from both sides

y = 4-2 = 2

Answer 52

so x is 2 and y is 2
it would be in box 2

Answer 53

right?