To find the mean of the set S, we need to add up all the elements and divide by the number of elements. In this case, there are two elements: y-7 and x.
Mean = (y-7 + x)/2
We are given that the mean is equal to 3y:
3y = (y-7 + x)/2
Multiply both sides by 2 to eliminate the fraction:
6y = y-7 + x
Rearranging the equation, we can solve for x:
x = 6y - y + 7
Combining like terms, we get:
x = 5y + 7
Therefore, the unknown member of the set, x, in terms of y and z is option: C) z+5y.
S={y-7,x}. The mean of set S is 3y. What is that unknown member of the set, x, in terms of y and z?
A 3y
B z-5y
C z+5y
D z-3
E 4y+3
1 answer