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!

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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step-by-step explanation: