00:01
This problem says a 13 -foot piece of string is cutting into two pieces so that the longer piece is four feet longer than twice the shorter piece.
00:07
Final lengths of both pieces and what is the length of the shorter and the longer piece.
00:12
So we know that the entire string that's 13 feet is cut into these two pieces.
00:17
So whatever x for the longer pieces plus y for the shorter pieces should equal 13 feet.
00:22
But we're also told a definition of the longer piece in comparison to the shorter piece.
00:27
We're told that the longer piece is four feet longer than twice the shorter piece.
00:31
So if the shorter piece is considered y, we can define the longer piece with y by showing that it's four feet longer than twice the shorter piece.
00:39
Twice the shorter piece would be 2y and 4 feet longer than that would be plus 4.
00:45
So instead of leaving this as x plus y equal to 13, we can change our x to be an expression that's equivalent to it, which is 2y plus 4, still plus y to show that the entire length comes together to be 13...