Is (–1,–1) a solution to this system of equations?

Question

y=–8x–9
y=–5x–6

Answer 1

To determine if (-1,-1) is a solution to the system of equations, we can substitute -1 for both x and y in both equations:

For the first equation:
y = -8x - 9
-1 = -8(-1) - 9
-1 = 8 - 9
-1 = -1

For the second equation:
y = -5x -6
-1 = -5(-1) - 6
-1 = 5 - 6
-1 = -1

Since (-1, -1) satisfies both equations, it is a solution to the system of equations.