B. (-2,1)
Step-by-step explanation:
Hi, to answer this question we have to solve the system of equations:
y=1/2x+ 2
y = -2x - 3
Multiplying the first equation by 4 and adding both equations:
4y = 2x +8
+
y = -2x - 3
5y = 5
y =5/5
y=1
Replacing the value of y in any equation:
y = -2x - 3
1 = -2x - 3
Solving for x:
2x =-3-1
2x=-4
x =-4/2
x =-2
So, the solution is
x =-2; y = 1
The correct option is B. (-2,1)