Final answer:
The value of z is -7 when x=6 and y=-1, as calculated by plugging the values into the equation z=(x^(2)-1)/(5y).
Step-by-step explanation:
To find the value of z when x=6 and y=-1, using the equation z=(x^(2)-1)/(5y), substitute the values of x and y into the equation:
- First, calculate x^2: 6^2 = 36.
- Then subtract 1 from x^2: 36 - 1 = 35.
- Next, since y = -1, multiply 5 by y: 5 * -1 = -5.
- Finally, divide the result from step 2 by the result from step 3: 35 / -5 = -7.
Therefore, the value of z when x=6 and y=-1 is -7.