Question

solve the system: y= -1/3 + 2 and x + 3y = 3

Answer 1

-1/3x*

Answer 2

x+3y=3 substrct x from both sides what would you get?

Answer 3

3y=-x+3?

Answer 4

id set them both equal to y then solve like that

Answer 5

ar you can sub y=-1/3x+2
in to other equation
x+3(-1/3 x+x)=3
solve for x

Answer 6

what?

Answer 7

since y equals -1/3x+2 we can substitute that into the second equation like this:\[x+3(-1/3 x+2)=3\]and then solve for x:\[x-3x+6=3\]\[-2x+6=3\]\[-2x=-3\]\[x=3/2\]
now substitute this x into the first equation:\[y=-1/3(3/2)+2\]\[y=-1/2+2\]\[y=-5/2\]
\[{x=3/2~~~~~~~~y=-5/2}\]

Answer 8

okay I see the first part. but the problem with -5/2, is that thats not one of the answer options. but 3/2, 0 is

Answer 9

oh sorry 1 second

Answer 10

\[x+3(−1/3x+2)=3\]
and then solve for x:
\[x−x+6=3\]\[0x+6=3\]\[0x=−3\]\[x=0\]
now substitute this x into the first equation:
\[y=−1/3(0)+2\]\[y=0+2\]\[y=2\]

\[x=0~~~y=2\]

Answer 11

is that one of the choices? sorry i did that wrong but i fixed it...helpful? :)

Answer 12

(0, 1)

(1, 0)

(3, 1/3)

(3/2, 0)
these are the options.

Answer 13

im so confused .-.

Answer 14

its A

Answer 15

how?

Answer 16

y has to equal 1 when x is 0

Answer 17

yummydum, if 0x=−3, then 0 = -3 which is a contradiction

So there are no solutions.

Answer 18

besides the mistake then you .. wait
if you have choses then the order pair are (x,y)
sub into the equations
example take the first one 0,1
y= -1/3 + 2 and x + 3y = 3
1=-1/3(0)+2 and 0+3(1)=3
1=2 not a solutation and 3=3 solves right equations
so do the next set of pairs and tell me what you find out

Answer 19

damn im confused...

Answer 20

is that all the possiablities? there is no solutions be these are parallal lines

Answer 21

sorry your confused but it says solve so look at what we have
sub the points in the equations and see if it equals or solve for x or y and then find what you did nt solve for... do you understand this

Answer 22

there is a no solution

Answer 23

i would be confused too...the answer choices are incorrect because the true answer is "no solution" or "there is/are no solution(s)"

Answer 24

so there must be a typo somewhere

Answer 25

there is your answer but do you understand why?

Answer 26

i think i got this jim_thompson5910

Answer 27

yeah i do thanks :)

Answer 28

great
you also can see let equations equal
-1/3 x+2=-1/3 x+1and solve for x
then you get 2=1 so no solution. :-)

Answer 29

another way to look at
\[y= -\frac{1}{3}x + 2 \text { and } x + 3y = 3\]
the 2nd equation, after rearranging into y= mx+b form is
\[ y= -\frac{1}{3}x+3\]
You have two lines that are parallel, and never meet.
There is no (x,y) pair that is on both lines (as would be the case if they intersected)

Answer 30

already said this phi