Brooklyn had math and reading homework tonight. Brooklyn can solve each math problem in 2 minutes and she can read each page in 3 minutes. The number of math problems Brooklyn solved is twice the number of pages she read and it took her 70 minutes to complete all of her homework. Write a system of equations that could be used to determine the number of math problems Brooklyn solved and the number of pages she read. Define the variables that you use to write the system.

Let's define the variables:

Let \( m \) represent the number of math problems that Brooklyn solved.
Let \( p \) represent the number of pages that Brooklyn read.

Now, we can form the following system of equations based on the information provided:

1. The number of math problems solved is twice the number of pages read: \[ m = 2p \]

2. The total time spent on math problems and reading is 70 minutes. Since Brooklyn takes 2 minutes per math problem and 3 minutes per page, we can express the total time as: \[ 2m + 3p = 70 \]

Thus, the system of equations is: \[ \begin{align*}

1. & \quad m = 2p \
2. & \quad 2m + 3p = 70 \end{align*} \]

This system can be used to solve for the number of math problems (\( m \)) and the number of pages read (\( p \)).