The point (4a, -3) is a solution to the system x + 4y + 4 = 0 and 2x - 3y = 25
Determine the value of a
To determine the value of a, we substitute the x and y values from the point into both equations of the system.
Substituting x = 4a and y = -3 into the first equation:
4a + 4(-3) + 4 = 0
4a - 12 + 4 = 0
4a - 8 = 0
4a = 8
a = 8/4
a = 2
Therefore, the value of a is 2.