Question

John claims the following two expressions are equivalent.
- 215y - 3) = - 10y - 6
John's work in determining an expression equivalent to the first expression is shown below.
- 2/5y - 3)
= (-2x5y) - (-2x - 3)
= - 10y-6
Which statement explains why John's claim is incorrect?
He should have subtracted (-2 * 3) resulting in the expression–10y + 6.
He should have only multiplied 3 by -2 resulting in the expression 5y - 6.
He should have only multiplied Sy by -2 resulting in the expression-10y - 3.
He should have only multiplied 3 by -2 and subtracted (-2 * 3) resulting in the expression 5y + 6.
А.
В.
С.
D

Answer 1

Answer:

the answer is B. He should have only multiplied 3 by –2 resulting in the expression 5y – 6.

Step-by-step explanation:

Answer 2

In the given expressions, the reason for John's claim being incorrect would be:

B). He should have only multiplied 3 by –2 resulting in the expression 5y – 6.

Given,

• The two expressions i.e.  $(-215y - 3) = - 10y - 6$
• The mistake that John makes is that he multiplies the entire equation by -2 as shown in $= (-2x5y) - (-2x - 3)$ which makes it incorrect.
• In order to rectify this mistake, only 3 was suppossed to be multiplied by -2 so that the outcome comes out as $5y - 6$.

Thus, option B is the correct answer.

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