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:
- (0, 26)
- (-6.5, 0)
Step-by-step explanation:
Turn the equation into slope-intercept form [ y = mx + b ].
y - 6 = 4(x + 5)
y - 6 = 4x + 20
y = 4x + 26
We know that b = y-intercept for the y-intercept is 26.
Substitute 0 for y to find the x intercept.
0 = 4x + 26
-26 = 4x
-6.5 = x
Best of Luck!
Answer:
Roberta earns $164.4 on an 8 hr shift.
Step-by-step explanation:
In one hour Roberta makes $9
So if she works for 8 hours she will be making
=> ( 9 X 8)$
=>72$
Also she earns a commission of 10.5% on selling a jewellery worth $880
So 10.5% of 880 is
=> 
=> 
=> 92.4
Hence Roberta will be earning a total amount of
(72+ 92.4)
=>$164.4
The answer is $14 Saul put into his bank accout
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
