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!

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

answer: i can’t tell you that

step-by-step explanation: