Question

Solve variation equations JZ^(9) The quantity z varies directly with y and inversely with x When y=10 and x=2,z=55. Find z when y=-7 and x=-11.

Answer 1

To solve the variation equation JZ^(9), we need to use the formula z = k * (y/x). By plugging in the known values and solving for k, we can find the value of z when y = -7 and x = -11.

Step-by-step explanation:

To solve the variation equation, we can use the formula: z = k * (y/x). Given that z varies directly with y and inversely with x, we can set up the equation:

z = k * (y/x)

Using the given values of y = 10, x = 2, and z = 55, we can solve for k:

55 = k * (10/2)

55 = 5k

k = 55/5

k = 11

Now, we can solve for z when y = -7 and x = -11:

z = 11 * (-7/-11)

z = 77/11

z = 7