Solve the system of equations graphed below. (1 point) Responses (−4,−2) open paren negative 4 comma negative 2 close paren (0,−5) open paren 0 comma negative 5 close paren (−2,−4) open paren negative 2 comma negative 4 close paren (−5,2)
The system of equations graphed below is:
y = -2x - 1
y = -x - 5
To solve this system of equations, we can set the two equations equal to each other:
-2x - 1 = -x - 5
Solving for x:
-x - 1 = -5
-x = -4
x = 4
Now that we have x = 4, we can substitute it back into one of the equations to find y. Let's use y = -2x - 1:
y = -2(4) - 1
y = -8 - 1
y = -9
Therefore, the solution to the system of equations is (4, -9).