Zak cycles for z kilometers and Julia cycles for j kilometers. If Julia cycled 10 less kilometers than Zak, which equation is correct?

To understand why the equation z - j = 10 is correct, we need to break down the information provided in the scenario.

We know that Julia cycled 10 kilometers less than the distance Zak cycled. This relationship can be expressed mathematically. If Zak cycled z kilometers, then Julia, cycling 10 kilometers less, would have cycled z - 10 kilometers.

However, we need to set this up in terms of j, which represents the distance Julia cycled. Therefore, we can state that j = z - 10. If we rearrange this equation to compare j to z, we add 10 to both sides to find the relationship between z and j:

j + 10 = z

We can then rearrange this to form another equation by subtracting j from both sides, resulting in z - j = 10. This clearly shows that the difference between the distances Zak cycled and Julia cycled is 10 kilometers, confirming the relationship.

This makes the equation z - j = 10 the correct choice because it accurately represents the situation where Julia cycled a distance that is 10 kilometers less than Zak. It expresses the difference in distance between them in an appropriate manner, leading to a clear