What is the solution to the given system of equations. y = 4x - 3
y = -X- 13

Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2

Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11

To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11

x = -2
y = -11

minimum

Step-by-step explanation:

this is a minimum since the vertex is at the bottom

it would be a max if the vertex is at the top and the graph opens down