What is the solution to the system of equations graphed below?
y=1/2x+ 2
y = -2x - 3
ooo
o a. (0, -3)
o b. (-2,1)
o c. (0, 2)
o d. (-4,0)

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)

step-by-step explanation:

in which figure is point g a centroid

7

step-by-step explanation:

the answer would be 7