At the beginning of the month a song on a streaming device already had 1000 listens and was getting 38 new listens each day. Meanwhile, a different song already had 900 lessons and was getting 40 new lessons each day write an equation to show the number of days it would take for the two songs to have the same number of listens use X as your variable.

Answer 1

Let L1 be the number of listens for the first song and L2 be the number of listens for the second song after X days.

The equation for the first song will be:
L1 = 1000 + 38X

The equation for the second song will be:
L2 = 900 + 40X

To find the number of days it would take for the two songs to have the same number of listens, we need to set L1 equal to L2:
1000 + 38X = 900 + 40X

Solving for X:
38X - 40X = 900 - 1000
-2X = -100
X = 50

It would take 50 days for the two songs to have the same number of listens.