Question

Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –. A table titled Deepak's Solution with 3 columns and 5 rows. The first row is, blank, Steps, Resulting equation. The second row has the entries, 1, Use the distributive property to simplify. StartFraction 5 Over 2 minus 5 plus 4 x minus 3 x equals negative StartFraction 7 Over 4 EndFraction. The third row has the entries, 2, Simplify by combining like terms, negative StartFraction 5 Over 2 plus x equals negative StartFraction 7 Over 4 EndFraction. The fourth row has the entries, 3, Use the addition property of equality, negative StartFraction 5 Over 2 EndFraction plus StartFraction 5 Over 2 EndFraction plus x equals negative StartFraction 7 Over 4 EndFraction plus StartFraction 10 Over 4 EndFraction. The fifty row has the entries, 4, Simplify by combining like terms, x equals StartFraction 3 Over 4 EndFraction. Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4

Answer 1

Answer: The answer is A

Step-by-step explanation: Because I took the test

Answer 2

Step 1 instruction is incorrect.

Explanation:

The given equation is
`(5)/(2)-3x-5+4x=-(7)/(4)`

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

So, rearranging of the terms of an expression is commutative property and not distributive property.

Distributive property is generally applicable to multiplication and is given as:

`a(b+c) = ab+ ac`

Commutative property is given as:

`a+b = b+ a`.

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.