Question

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Yes; a legionary costs 111 denarius per day to support, and an archer costs 222 denarius per day to support.
Can we solve for a unique cost for each soldier?

Answer 1

Answer:

Choose 1 answer:

1) Yes; a legionary costs 11 denarius per day to support, and an archer costs 22 denarii per day to support.

2) Yes; a legionary costs 22 denarii per day to support, and an archer costs 4/3

denarii per day to support.

(3)

No; the system has many solutions.

(4)

No; the system has no solution.