The system of equations is graphed in the figure.
y = -5/3x+3
y=1/3x-3
what is the solution of the system?
a) (-2,3)
b) (-3,2)
c) (3,-2)
d) (2,-3)

 The correct answer is:  [C]:

              →    " ( 3, -2) " .

Explanation:

By looking at the graph {provided) of the lines of the 2 (two) equations given, we see that the two (2) lines intersect at the point at which the coordinates are:   " (3, -2)" ;  that is:  where:  " x = 3;  y = - 2 " ;  (refer to "image attached");

  →  which corresponds to:

  →  Answer choice:  [C]: " (3, -2) " .

Let us check our answer, by plugging in "3" for "x" ; and "-2" for "y" ;

  in Each of the 2 (two) equations given; to see if the equations hold true:

Equation 1:

  y = (-5/3)x  + 3  ;

 →  -2  =? (-5/3)*3  + 3 ?  

 →  -2  =?  -5  + 3 ? ;    -2 =? -2 ?  Yes!

Equation 2:

 y = (1/3)x -3 ;

→  -2 =? (1/3)*3  - 3 ? ;

→  -2 =?  1 - 3 ?  ;    -2 = ? -2 ?  Yes!

Both equations hold true when:  "x = 3 ;  and y = -2 " .

Refer to image attached to see where the lines of the graphs of the equations given intersect.

Hope this answer is helpful to you!

  WIshing you the best!

iu

step-by-step explanation:

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole