Final answer:
The values of x and y in the matrix equation [-20 16 4 0 9 -5] can be found by solving the system of equations. The solution is x = 5/9 and y = 4/9.
Step-by-step explanation:
In the given matrix equation [-20 16 4 0 9 -5], the values of x and y can be found by analyzing the coefficients of the variables in the equation. The matrix equation can be written as follows:
-20x + 16y + 4 = 0
9x - 5 = 0
Simplifying the second equation, we get:
9x = 5
Dividing both sides by 9, we find:
x = 5/9
Substituting the value of x into the first equation, we can solve for y:
-20(5/9) + 16y + 4 = 0
-100/9 + 16y = -4
16y = -4 + 100/9
16y = -36/9 + 100/9
16y = 64/9
y = 64/9 * (1/16)
y = 4/9