Write an equation in slope-intercept form that represents the situation: Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

x = 6

Step-by-step explanation:

First step is to distribute the 5(x + 2).

5x + 10 = 6x + 3x - 14

The 6x and the 3x on the right can be combined.

5x + 10 = 9x - 14

Now add 14 to both sides to isolate the 9x.

5x + 24 = 9x

Subtract 5x from both sides.

24 = 4x

Divide by 4 to get x by itself.

6 = x