Final answer:
After substituting the point (– 3, – 3) into both equations and finding that it satisfies both, we can conclude that (– 3, – 3) is indeed a solution to the system of equations.
Step-by-step explanation:
To determine if the point (– 3, – 3) is a solution to the system of equations given, we substitute x with – 3 and y with – 3 into each equation:
- For the first equation, 7x – 6y = – 3:
7(– 3) – 6(– 3) = – 21 + 18 = – 3, matches the right side of the equation. - For the second equation, 13x – 12y = – 3:
13(– 3) – 12(– 3) = – 39 + 36 = – 3, which also matches the right side of the equation.
As both equations are satisfied, the point (– 3, – 3) is indeed a solution to the system of equations.