Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Answer:
x = 3 , y = 13
Step-by-step explanation:
Note that both equations is equal to y. Set the two equations equal to each other
y = 7x - 8; y = 5x - 2
7x - 8 = y = 5x - 2
7x - 8 = 5x - 2
Isolate the x. Subtract 5x and add 8 to both sides
7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)
7x - 5x = -2 + 8
Simplify.
(7x - 5x) = (-2 + 8)
2x = 6
Isolate the x. Divide 2 from both sides
(2x)/2 = (6)/2
x = 6/2
x = 3
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Plug in 3 for x in one of the equations.
y = 7x - 8
y = 7(3) - 8
Simplify. Remember to follow PEMDAS.
y = 7(3) - 8
y = 21 - 8
y = 13
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x = 3, y = 13 is your answer
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Answer:
375,000,000 milliliters of water is in the pool.
Step-by-step explanation:
We know
1 liters = 1000 milliliters
hence to convert liter in to milliliter we have to multiply the liter unit with 1000 to get the milliliter
we have to find value of 375,000 liters in milliliters
to get that we multiply both side by 375,000
1* 375,000 liters = 1000* 375,000 milliliters
thus,
375,000 liters = 375,000,000 milliliters
thus, there is 375,000,000 milliliters of water is in the pool.
