Question

Graphically solve a system of equations in order to determine the number of nickels, x, and the number of dimes, y, that Nevaeh has.

Answer 1

6 nickels and 5 dimes.

Step-by-step explanation

• x: number of nickels

,

• y: number of dimes

We know that each nickel worths $0.05 and each dime worths $0.10. Navaeh has $0.80 in nickles and dimes:

`0.05x+0.10y=0.80`

This is the first equation of the system

Then, it is said that she has 11 coins in total:

`x+y=11`

This is the second equation of the system.

The graph is:

Where the blue line is the graph for the first equation and the red line is the graph of the second equation.

The solution to the system is the point where these two lines intersect: (6, 5) which means that she has 6 nickels and 5 dimes.