Is (9,6) a solution to this system of equations?

Question

y=–x–1
y=x–3

Answer 1

To check if (9,6) is a solution to the system of equations, we substitute x=9 and y=6 into both equations:

For the first equation, y = -x - 1:
6 = -(9) - 1
6 = -9 - 1
6 = -10

This is not true, so (9,6) is not a solution to the first equation.

For the second equation, y = x - 3:
6 = 9 - 3
6 = 6

This is true, so (9,6) is a solution to the second equation.

Since (9,6) is not a solution to both equations in the system simultaneously, it is not a solution to the system of equations.