Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.
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Answer:
See below.
Step-by-step explanation:
Let <em>x</em> represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:
Where <em>y</em> represents the total cost, <em>20x</em> represents the cost for staying <em>x</em> days and <em>15</em> is the initial one-time fee.
For Bark Time Hotel, similarly:
Again, <em>y</em> represents the total cost, <em>30x</em> represents the cost for staying <em>x</em> days, and <em>5</em> is the initial one-time fee.
Thus, the system of equations is:
