Final answer:
To put the statement 'Two times the first number (x) is 13 more than the second number (y)' into a systems equation, we can write 2x = y + 13.
Step-by-step explanation:
To put the statement 'Two times the first number (x) is 13 more than the second number (y)' into a systems equation, we need to translate it into mathematical language. 'Two times the first number (x)' can be written as 2x, and 'is 13 more than the second number (y)' can be written as y + 13. Therefore, the systems equation would be 2x = y + 13.
Therefore, option a) 2x = y + 13 is the correct choice.