z varies directly with x and inversely with y. When x = -1 and y = 8, z = 13. Find z when x = 3 and y = 6.
1. Determine the expression relating , , and :
Since varies directly with and inversely with , we can set , where is a constant.
2. Find the value of the constant :
When and , . Substituting these values into , we get .
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