Question

The distance from Jim's house to the intersection of Thornwood Drive and Holly Drive is given by the expression 15x − 7. The total distance from Jim's house to Adam's house when traveled on Thornwood Drive and Holly Drive is given by the expression 23x − 2. Find a single expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive.

Answer 1

$\text{Given that the distance from Jim's house to the intersection of Thornwood drive}\\ \text{and Holly Drive is given by the expression }(15x-7)\\ \\ \text{And the total distance from Jim's house to Adam's house when traveled on}\\ \text{Thornwood Drive and Holly Drive is given by the expression }(23x-2)$

$\text{so the distance from Adam's house to the intersection of Thornwood Drive }\\ \text{and Holly Drive will be given by the difference of the total distance from Jim's }\\ \text{house to the Adam's house and the distance from Jim's house to the intersection.}\\ \\ \text{Hence the distance from Adam's house to the intersection of Thornwood Drive}$

$\text{and Holly Drive is}=(23x-2)-(15x-7)\\ \\ =23x-2-15x+7\\ \\ =8x+5$

Hence the expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive is: 8x+5

Answer 2

Answer:

A) 8x + 5

Step-by-step explanation:

(23x − 2) − (15x − 7)

23x − 2 − 15x + 7

8x + 5

Hope this helps!!!