Question

Lucia has 10 dimes and nickels worth a total of $0.60. Use the graph to find the number of dimes and nickels that Lucia has.

Answer 1

The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically. Complete a table of values for each line.

The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes and 8 nickels. 

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