ANSWER
It is not a solution to the system of equations
EXPLANATOIN
We are given the equations:
3x + y = 10
-2x - 3y = 2
We want to verify if (-4, 2) is a solution to the system of equations.
To do that, make x = -4 and make y = 2 and find out if the value on the left is the same as that on the right.
For (-4, 2) to be a solution of the system, it must satisfy both equations.
For the first equation:
3(-4) + 2 = 10
-12 + 2 = 10
=> -10 = 10
The left and right sides are not equal.
For the second equation:
-2(-4) - 3(2) = 2
8 - 6 = 2
2 = 2
The left and right sides are equal.
Because (-4, 2) does not satisfy the first equation, then, it is not a solution to the system of equations.