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Erica is training for a marathon This week she ran 6 less than 2 times the number of miles that she ran last week in these two weeks ran a total of 42 miles write a system of equation and find x the number of miles she ran this week and y the number of miles she ran last week

User Xll
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Final answer:

To find the number of miles Erica ran this week and last week, we can set up a system of equations based on the given information. Solving this system of equations, we find that Erica ran 26 miles this week and 16 miles last week.

Step-by-step explanation:

To solve this problem, we need to create a system of equations based on the given information. Let x represent the number of miles Erica ran this week, and y represent the number of miles she ran last week.

Based on the given information, we can set up two equations:

1. x = 2y - 6 (Erica ran 6 less than 2 times the number of miles she ran last week)

2. x + y = 42 (The total number of miles Erica ran this week and last week is 42)

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation 1 into equation 2, we get: (2y - 6) + y = 42. Simplifying this equation gives us 3y - 6 = 42. Adding 6 to both sides, we have 3y = 48. Dividing both sides by 3, we find that y = 16.

Substituting the value of y into equation 1, we get x = 2(16) - 6, which simplifies to x = 26.

Therefore, Erica ran 26 miles this week and 16 miles last week.

User SvaLopLop
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