Find the solution of the system of equations. 8x-3y=2 -8x-5y=46
2 answers:
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
The coefficients of x are opposites, so the variable x can be eliminated by adding the equations together:
(8x -3y) +(-8x -5y) = (2) +(48)
-8y = 48 . . . . . simplify
y = -6 . . . . . . . divide by -8
Use this value in either equation to find x.
8x -3(-6) = 2
8x = -16 . . . . . . subtract 18
x = -2 . . . . . . . divide by 8
The solution to the system of equations is (x, y) = (-2, -6).
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Answer: $122.50
<u>Step-by-step explanation:</u>
In Out
8:00 12:00 = 4 hours
12:45 17:30 =<u> 4.75 hours </u>
Total 8.75 hours
8.75 hours x $14/hr = $122.50
Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:
17:30 → 16:90
- 12:45 -<u> 12:45 </u>
4: 45
4 hours 45 minutes = = 4.75 hours