
Edward P. answered 02/27/17
Tutor
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Booster for Math and Comp Sci Skills
Equation 1:
x+y=62
(all of the time slots are either on Saturday which is x or Sunday which is y)
Equation 2:
x=y+14
(There are 14 more Saturday than Sunday slots so whatever Sunday is which is y plus 14)
Now plug Equation 2 into Equation 1.
(x)+(y)=62....--> (y+14)+(y)=62
2y+14=62 now subtract 14 from each side
2y=48 now divide each side by 2
y=24.
Now plug in our y to the first equation.
x+y=62...---> x+24=62 now subtract 24 from each side
x=38.
You can now test the values
x+y=62
38+24=62 and there are 14 more time slots for Saturday than Sunday.