Complete Question:
On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x + 5. The distance from school to the park is x. If the total distance she walks that day is 10x + 9, how far is it from the park back to her house?
Answer:
[tex] = 7x + 4 [/tex]
Step-by-step explanation:
Distance from her house to school = 2x + 5
Distance from school to park = x
Total distance walked that day including distance from the park back to her house = 10x + 9
Distance back to her house = total distance walked - (distance form her house to school + distance from school to park)
= [tex] (10x + 9) - ((2x + 5) + (x)) [/tex]
[tex] = (10x + 9) - (2x + 5 + x) [/tex]
[tex] = (10x + 9) - (3x + 5) [/tex]
[tex] = 10x + 9 - 3x - 5 [/tex]
Combine like terms
[tex] = 10x - 3x + 9 - 5 [/tex]
[tex] = 7x + 4 [/tex]
