Answer is Yes there is a solution
(-2, -1)
Step by step
Substitute the line 2 y value in place of y in line 1.
-1/2x -2 = -x -3
We want to isolate x
First we will add 1x to both sides
1x -1/2x -2 = 1x -x -3 (1x and x mean the same)
1/2x -2 = -3
Now we will add 2 to both sides, still trying to isolate x
1/2x -2 +2 = -3 +2
1/2x = -1
Now we divide both sides by 1/2 to solve for x. Remember when you divide a fraction you flip it and multiply.
1/2 * 2/1 x = -1 * 2/1
x = -2
Now we can solve for y by substituting our x value into line 1.
y .= -(-2) -3
y = -1
Now we check our work by substituting our x and y values into line 1
-1 = -(-2) -3
-1 = -1
Problem solved!