9514 1404 393
Answer:
8 sports tires and 9 all-season tires were sold
Step-by-step explanation:
If we let x and y represent the numbers of sports tires and all-season tires sold, respectively, then the problem statement tells us ...
6x +5y = 93
3/4x -2/3y = 0
These equations can be solved by your favorite method to find ...
x = 8
y = 9
8 sports and 9 all-season tires were sold.
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Additional comment
My favorite method for solving systems of linear equations is a graphing calculator (when solutions are expected to be integers). If you want to do this "by hand", you can multiply the second equation by -8 and add the result to the first equation.
(6x +5y) -8(3/4x -2/3y) = (93) -8(0)
31/3y = 93
y = 9
3/4x = 6 ⇒ x = 8 . . . . substitute for y in the second equation
(sports, all-season) = (8, 9)
