-5x - 8 = -18
-5x - 8 + 8 = -18 + 8
-5x = -10
-5x / (-5) = -10 / (-5)
x = 2
Answer:
a = -2
Step-by-step explanation:
7a + 10 = 2a
subtract 7a from each side
7a-7a+10 = 2a-7a
10 = -5a
divide by -5
10/-5 = -5a/-5
-2 = a
check
7 (-2) +10 = 2(-2)
-14 + 10 = -4
-4 = -4
1 lemon to 2 waters will be proportional to what he Brandon needs so:
1 lemon / 2 water = x lemon / 12 water
Multiply by 12
And you get (1/2)*12 which is 6=x lemons
He needs 6 cups of lemons
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.
The answer that I would choose would be C.
