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

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

anonymous · Answer

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.