Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetical ordered variables.
(3, 6);
3x - y = 3
5x - 4y = -9
To determine if the ordered pair (3, 6) is a solution to the system of equations, we substitute 3 for x and 6 for y in both equations and check if the equations hold true.
1st equation: 3x - y = 3
Substituting x = 3 and y = 6:
3(3) - 6 = 3
9 - 6 = 3
3 = 3
The first equation holds true when x = 3 and y = 6.
2nd equation: 5x - 4y = -9
Substituting x = 3 and y = 6:
5(3) - 4(6) = -9
15 - 24 = -9
-9 = -9
The second equation also holds true when x = 3 and y = 6.
Since both equations hold true when x = 3 and y = 6, the ordered pair (3, 6) is indeed a solution to the system of equations.