Answer:
Omar ran 6 miles each day after work.
Explanation:
In the first week, Omar ran 3 miles around the track before work every day. Since there are 7 days in a week, he ran a total of 3 * 7 = 21 miles before work.
Now, for the longer route through his neighborhood after work, he ran "x" miles each day. Since there are 7 days in a week, he ran a total of 7x miles after work.
In total, by the end of the week, he ran a total of 63 miles. So, we can write the equation:
21 (miles before work) + 7x (miles after work) = 63
Now, you can solve this equation for "x" to find out how many miles Omar ran each day after work:
21 + 7x = 63
Subtract 21 from both sides:
7x = 63 - 21
7x = 42
Now, divide both sides by 7 to solve for "x":
x = 42 / 7
x = 6