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coldgirl [10]
3 years ago
12

The work of a student to solve the equation 2(5y – 2) = 12 + 6y is shown below: Step 1: 2(5y – 2) = 12 + 6y Step 2: 7y – 4 = 12

+ 6y Step 3: y – 4 = 10 Step 4: y = 14 Step 5: y = 7 In which step did the student first make an error and what is the correct step? (1 point) A: Step 2: 7y – 4 = 6 + 3y B: Step 2: 10y – 4 = 12 + 6y C; Step 3: 5y – 2 = 2(10 + 3y) D: Step 3: 2(5y – 2) = 10 + 3y
Mathematics
2 answers:
kirza4 [7]3 years ago
7 0
2(5y - 2) = 12 + 6y
7y - 4 = 12 + 6y ⇒ wrong, it has to be: 10y - 4 = 12 + 6y

so the correct answer is B 
gogolik [260]3 years ago
3 0

Answer:

Option B

Step 2: 10y-4=12+6y

Step-by-step explanation:

We are given that an equation

2(5y-2)=12+6y

We are given steps which are solved by student .We have to find the first  error he makes in her/his  steps and correct it.

Step1:2(5y-2)=12+6y

Step 2: 10y-4=12+6y

But student did in step 2: 7y-4=12+6y

So , he makes error in step 2

Step 3: 10y-6y=12+4

Step 4: 4y=16

Step 5: y=\frac{16}{4}=4

Hence, option B is true , step 2:10y-4=12+6y

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Read 2 more answers
Write one word problem involving simultaneous linear equations.
amm1812

Answer:

Andre has more money than Bob.  If Andre gave Bob $20, they would have the same amount.  While if Bob gave Andre $22, Andre would then have twice as much as Bob.  How much does each one actually have?

Step-by-step explanation:

Here is the first sentence:

"If Andre gave Bob $20, they would have the same amount."

Algebraically:

1)   x − 20 = y + 20.

(Andre -- x -- has the same amount as Bob, after he gives him $20.)

Here is the second sentence:

"While if Bob gave Andre $22, Andre would then have twice as much

as Bob."

Algebraically:

2)   x + 22 = 2(y − 22).

(Andre has twice as much as Bob -- after Bob gives him $22.)

To solve any system of two equations, we must reduce it to one equation in one of the unknowns.  In this example, we can solve equation 1) for x --

x − 20 = y + 20

 implies   x = y + 40

-- and substitute it into equation 2):

y + 40 + 22 = 2(y − 22).

      That is,

y + 62 = 2y − 44,

y − 2y = − 44 − 62,

according to the techniques of Lesson 9,

−y = −106

y = 106.

Bob has $106.  Therefore, according to the exression for x, Andre has

106 + 40 = $146.

I hope this helps u! :D

7 0
3 years ago
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