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Jack placed two orders with a local nursery. The first order was for 13 rose bushes and 4 miniature orchid plants. This order totaled $500. The second order was for 2 rose bushes and 1 miniature orchid. This order totaled $100. The receipts do not list the price per plant, and Jack would like to know how much each plant cost.

This system of equations represents the situation.

13x + 4y = 500

2x + y = 100

In the equations, x represents the cost of each rose bush and y represents the cost of each orchid plant. The graph of this system is shown below. How much does each type of plant cost?

A graph with a y-axis representing the cost of orchid plants in dollars ten. The x-axis represents the cost of rose plants in dollars ten. Both axis range from one to ten. Two lines are drawn intersecting at (6,2).

The price of each rose bush is $
, and the price of each orchid is $
.



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