Question

Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6: a = 2 minus one-third b

Which statement about Yuet’s work is true?

In step 1 she needed to add 2b to both sides of the equation.
In step 1 she needed to divide by 2b on both sides of the equation.
In step 2 she needed to divide both sides of the equation by 6.
In step 2 she needed to subtract 6 from both sides of the equation.

Answer 1

Question:

Yuet solved the equation $6a - 2b = 12$ for a.

Her steps are shown below.

1. Subtract 2b: $6a = 12 - 2b$

2. Divide by 6: $a = 2 - \frac{b}{3}$

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: $6a = 12 + 2b$

2. Divide by 6: $a = 2 + \frac{b}{3}$

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

Answer 2

Answer:

A:In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

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