Create a linear system to model this situation: A length of outdoor lights is formed from strings that are 5 ft. long and 11 ft. long. Fourteen strings of lights are 106 ft. long.
Let x be the number of 5 ft. strings of lights
Let y be the number of 11 ft. strings of lights
The length of the 5 ft. strings is 5x ft.
The length of the 11 ft. strings is 11y ft.
The total length of the strings is given as 106 ft.
So, the equation that represents the total length is:
5x + 11y = 106
Since there are fourteen strings of lights, the equation for the total number of strings is:
x + y = 14
Therefore, the linear system to model this situation is:
5x + 11y = 106,
x + y = 14.