Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. Marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.

In 2.2 years they will be equal the same value.

Step-by-step explanation:

Let x = Number of years;

Elena = 23000x + 15000

Marc = 9000x + 46000

Then if we set Marc equal to Elena:

23000x + 15000 = 9000x + 46000

or

23000x - 9000x = 46000 - 15000

14000x = 31000

x = 31000 / 14000

x = 2.2

=> In 2.2 years they will be equal the same value.

=> In 2 years 2 months and 17 days Marc and Elena Cars' mileage will be equal.

Answer: Yes, It will be equal in 2.2 years

Step-by-step explanation:

Hi, to answer this question we have to write an equation for the mileage of Elena and Marc.

Elena = 15,000 + 23,000x

Marc = 46,000 + 9,000x

Wheres x is the number of years

So, if both have the same mileage

15,000 + 23,000x = 46,000 + 9,000x

Solving for x

23,000x-9,000x = 46,000-15,000

14,000x = 31,000

x = 31,000/14,000

x = 2.21 years