How do i solve the absolute value of -5x=45

Geometry answer picture question pls . reason and statements

If a is a nonzero real number then the reciprocal of a is

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.