Question

The distance from your Geometry classroom to the bathroom is ((4x + 5)) steps, and the distance back is ((6x - 16)) steps. Assuming you take the same route, what is the value of (x) and the number of steps to the bathroom?

Answer 1

To find the value of x and the number of steps to the bathroom, set up an equation and solve for x. The value of x is 10.5 and the number of steps to the bathroom is 47 steps.

Step-by-step explanation:

To find the value of x and the number of steps to the bathroom, we can set up an equation based on the information given:

Distance to the bathroom: 4x + 5

Distance back: 6x - 16

Since the distances there and back are the same, we can set the two equations equal to each other and solve for x:

4x + 5 = 6x - 16

Subtracting 4x and adding 16 to both sides, we get:

21 = 2x

Dividing both sides by 2, we find:

x = 10.5

So, the value of x is 10.5, and the number of steps to the bathroom can be found by substituting x back into the equation for the distance to the bathroom:

Distance = 4x + 5 = 4(10.5) + 5 = 42 + 5 = 47 steps