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satela [25.4K]
2 years ago
11

Someone help me please!

Mathematics
2 answers:
TEA [102]2 years ago
5 0

Answer:

<h2>here's the answer</h2><h2>hope this helps</h2>

DENIUS [597]2 years ago
3 0

Answer:

x = 120/29

Step-by-step explanation:

-1/6(x + 18) + 1/5(x + 5) = x - 6

-1/6x - 3 + 1/5x + 1 = x - 6

-1/6x + 1/5x + 1 - 3 = x - 6

-1/6x + 1/5x - 2 = x - 6

-5/30 + 6/30x = x - 6 + 2

1/30x = x - 4

1/30x - x = -4

-29/30x = -4

-29/30x • 30/29 = -4 • 30/29

-x = -4/1 • 30/29

-x = -120/29

-x/-1 = 120/29/-1

x = 120/29

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

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

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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

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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

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-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

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2 years ago
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