There are 62 time slots for cheerleading tryouts on Saturday and Sunday. There are 14 more slots on Saturday than Sunday. Find the number of Saturday time slots x and the number of Sunday time slots y

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Answer:

There would be 38 time slots on Saturday and 24 slots on Sunday

Step-by-step explanation:

In order to find the amount of slots on Saturday and Sunday, we need to set up the system of equations. To do so, start by setting Saturday as x and Sunday as y. Now we can write the first equation to show the total number of slots.

Saturday + Sunday = 62

x + y = 62

Now we can write a second one that shows the difference in the number of Saturday and Sunday slots.

Saturday - Sunday = 14

x - y = 14

Now we can add the two equations together to solve for x.

x + y = 62

x - y = 14

2x = 76

x = 38

Now that we have the number of Saturday slots, we can find the number of Sunday slots by using either equation.

x + y = 62

38 + y = 62

y = 24