Question

Write a system of equations to describe the situation. Do not solve the system.

One number is 5 more than another number. If you add 12 to 5 times the first number, the result is 6 times the second number

Answer 1

Do you mean, 'The first number is 5 more than the second number. If you add 12 to 5 times the first number, the result is 6 times the second number"? If this is what you mean, then here are your two equations:
\[y=x+5\]
\[5y+12 = 6x\]
where y is your first number, and x is your second number.