Answer:
5 feet
Step-by-step explanation:
The answer is 31
It is 31 because all you do is just put the number 6 into the problem and multiply and add it together which will get you 31 minutes to run 6 laps
X | -0.6x - 0.6y = -0.6 | 0.5x - 0.3y = -2.7 |
| y | y
-4 | 5 | 2 1/3
-3 | 4 | 4
From the table, solution is (-3, 4)
12x + 3y = 12 => 3(4x + y) = 12. . . (1)
y = -4x + 5 => 4x + y = 5 . . . (2)
Since, the left hand side of (2) is a factor of the left hand side of (1), the system is dependent.
Answer: Infinitely many solutions
The solutions are of the form (x,y) = (x,3x+5) for any real number x.
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Explanation:
Plug the first equation into the second. We'll replace y with 3x+5
12x-4y = -20
12x-4( y ) = -20
12x-4(3x+5) = -20 .... y replaced with 3x+5
12x-12x-20 = -20
0x-20 = -20
0-20 = -20
-20 = -20
We end up with a true equation no matter what x is.
Therefore, this system has <u>infinitely many solutions</u>.
Each solution is of the form (x,y) = (x,3x+5) because y = 3x+5.