The solution to the given system of equation is (-1, -1). This means the lines will intersect at (-1, -1)
Given the system of equations
y = 2x + 1
y = - 3x - 4
In order to determine the solution to the system of equation, we will equate both expressions to have:
2x + 1 = -3x - 4
2x + 3x = -4 - 1
5x = -5
Divide both sides by 5 to have:
5x/5 = -5/5
x = -1
y = 2(-1) + 1
y = -1
Hence the solution to the given system of equation is (-1, -1). This means the lines will intersect at (-1, -1)