Question

You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes (y) you spend on practicing for the week is given by y = 7(15 + x), where x is the number of minutes you spend on practicing a new song.

a. Solve the equation for x.
A. x = 15 - 7y
B. x = (y - 15)/7
C. x = (7y - 15)
D. x = (y + 15)/7

Answer 1

To solve for x, isolate x on one side of the equation by distributing the 7 and then subtracting 105 from both sides. Divide both sides by 7 to find the value of x.

Step-by-step explanation:

To solve the equation for x, we need to isolate x on one side of the equation. The given equation is y = 7(15 + x). Distributing the 7 to both terms inside the parentheses, we have y = 105 + 7x. To isolate x, we can subtract 105 from both sides of the equation, giving us y - 105 = 7x. Divide both sides of the equation by 7 to solve for x, so x = (y - 105)/7.