## trentsellars Group Title solve the system: y= -1/3 + 2 and x + 3y = 3 one year ago one year ago

1. trentsellars Group Title

-1/3x*

2. kmalone99 Group Title

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

3. trentsellars Group Title

3y=-x+3?

4. katiebugg Group Title

id set them both equal to y then solve like that

5. kmalone99 Group Title

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

6. trentsellars Group Title

what?

7. yummydum Group Title

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$ ${x=3/2~~~~~~~~y=-5/2}$

8. trentsellars Group Title

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

9. yummydum Group Title

oh sorry 1 second

10. yummydum Group Title

$x+3(−1/3x+2)=3$ 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$ $x=0~~~y=2$

11. yummydum Group Title

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

12. trentsellars Group Title

(0, 1) (1, 0) (3, 1/3) (3/2, 0) these are the options.

13. yummydum Group Title

im so confused .-.

14. yummydum Group Title

its A

15. trentsellars Group Title

how?

16. yummydum Group Title

y has to equal 1 when x is 0

17. jim_thompson5910 Group Title

yummydum, if 0x=−3, then 0 = -3 which is a contradiction So there are no solutions.

18. kmalone99 Group Title

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

19. trentsellars Group Title

damn im confused...

20. kmalone99 Group Title

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

21. kmalone99 Group Title

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

22. trentsellars Group Title

there is a no solution

23. jim_thompson5910 Group Title

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

24. jim_thompson5910 Group Title

so there must be a typo somewhere

25. kmalone99 Group Title

26. kmalone99 Group Title

i think i got this jim_thompson5910

27. trentsellars Group Title

yeah i do thanks :)

28. kmalone99 Group Title

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. :-)

29. phi Group Title

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)

30. kmalone99 Group Title