At the beginning of the month a song on a streaming service already had a thousand lessons and was getting 38 new lessons each day meanwhile a different song already had 900 lessons and it's 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 lessons use x as your variable
Let y represent the total number of lessons for the first song, and let z represent the total number of lessons for the second song.
Therefore, for the first song: y = 1000 + 38x
And for the second song: z = 900 + 40x
To find the number of days it would take for the two songs to have the same number of lessons, we can set y equal to z:
1000 + 38x = 900 + 40x
Subtracting 900 from both sides, we get:
100 + 38x = 40x
Subtracting 38x from both sides:
100 = 2x
Dividing by 2, we find:
50 = x
Therefore, it would take 50 days for the two songs to have the same number of lessons.