## To find the time it will take for the cheetah to catch up to the gazelle, we can set up a linear equation using the relative velocity and the distance between them.

Let t represent the time it will take for the cheetah to catch up to the gazelle.

Relative velocity of the cheetah = 90 ft/s - 70 ft/s = 20 ft/s

The distance the cheetah needs to make up is 100 ft.

So the equation becomes:

20 ft/s * t = 100 ft

To solve for t, we divide both sides of the equation by 20 ft/s:

t = 100 ft / 20 ft/s

t = 5 seconds

Therefore, it will take the cheetah 5 seconds to catch up to the gazelle.

Now, let's explain how to solve the multi-step equation: 24 - 6r = 6(4 - r)

To solve this equation, we can follow these steps:

Step 1: Distribute the 6 on the right side of the equation:

24 - 6r = 24 - 6r

Step 2: Simplify the equation by combining like terms:

24 - 6r = 24 - 6r

Step 3: Move the variable terms to one side and the constant terms to the other side. In this case, let's move the -6r term to the left side:

-6r + 6r = 24 - 24

The -6r and +6r terms cancel each other out, and we are left with:

0 = 0

Step 4: Since 0 = 0 is always true, this equation has infinite solutions. This means that any value of r will satisfy the equation.

In conclusion, the equation 24 - 6r = 6(4 - r) has infinite solutions.