The number of hospitals H with more than 100 beds during year x is estimated by the formula H=-42x+86,650, where x is any year from 2002 to 2008. In which year were there 2356 hospitals of this type? In the year ???? there were 2356 hospitals with more than 100 beds.

Question

The number of hospitals H with more than 100 beds during year x is estimated by the formula H=-42x+86,650, where x is any year from 2002 to 2008.  In which year were there 2356 hospitals of this type?   In the year ???? there were 2356 hospitals with more than 100 beds.

anonymous · Answer

2356 = -42x + 86650
2356 - 86650 = -42x
-84294 = -42x
2007 = x