Answer: The correct answer is: [C]:
___________________________________________
→ " ( 3, -2) " .
___________________________________________
Step-by-step 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!
_____________________________________