Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
3 times
Step-by-step explanation:
The lowest common multiple of 3, 8, and 12 is 24.
Therefore they all hoot together at the 24th hour, 48th(24×2) hour, 72nd(24×3)hour. making 3 times before the 80th hour
Convert feet to inches 3 feet=36 inches.
8*36=288 inches squared
Answer:
The first '5' terms of the given sequence
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the 
aₙ = 
<em>first term</em>
Put n=1 ⇒ 
<em>second term</em>
Put n=2 ⇒ 
<em>Third term</em>
Put n=3 ⇒ 
<em>Fourth term</em>
Put n=4 ⇒ 
<em>Fifth term</em>
Put n=5 ⇒ 
The first '5' terms of the given sequence
First you need to make the fractions denominators equal. So you will multiply 1/3 by 4 and 3/4 by 3, leaving you with 4 4/12 - 2 9/12. Simply leaving you with 1 7/12
