Question

a discount store is selling 5 small tables with 8 chairs for $115 . three tables with 5 chairs cost $70. which system of linear equations can be used to find the cost of each table (x) and the cost of each chair (y)?

Answer 1

Let's assign variables to the unknowns:
Let x be the cost of each table.
Let y be the cost of each chair.

From the given information, we can create two equations.

First equation:
5x + 8y = 115 (since 5 tables with 8 chairs cost $115)

Second equation:
3x + 5y = 70 (since 3 tables with 5 chairs cost $70)

So, the system of linear equations that can be used to find the cost of each table (x) and the cost of each chair (y) is:
5x + 8y = 115
3x + 5y = 70