<PRE><B>Question 506641</B>

Determine whether (2, -3) is a solution to the following system of equations. Be sure to explain your answer.


3x - 2y = 12
2x + 3y = -5


Substitute the coordinate point (2, - 3) into the equation to see if it makes it true, with 2 being the value of x, and - 3 being the value of y


3x - 2y = 12


3(2) - 2(- 3) = 12


6 + 6 = 12 (TRUE)



2x + 3y = - 5


2(2) + 3(- 3) = - 5


4 - 9 = - 5 (TRUE)


Therefore, (2, - 3) is a solution to the system</PRE>