Step 1 : Let's graph the equations, as follows:
y = - 6x - 7
y = 3x + 11
Step 2: Let's find x-intercept and y -intercept for both equations:
y = -6 * 0 - 7
y = -7, therefore, y-intercept = (0, -7)
0 = - 6x - 7
6x = -7
x = -7/6, therefore x-intercept = (-7/6, 0)
y = 3 * 0 + 11
y = 11, therefore, y-intercept = (0, 11)
0 = 3x + 11
-3x = 11
3x = -11
x = -11/3, therefore, x-intercept = (-11/3, 0)
Step 3: Now let's graph the system of equations:
As we can see, the point of intersection is (-2, 5), therefore, the solution is:
x = -2
y = 5