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:

Step 1

Step-by-step explanation:

Deepak given problem is: $\dfrac52-3x-5+4x=-\dfrac74$

$\left|\begin{array}{c|cc} Steps& Resulting Equation\\ 1, Use the distributive property to simplify.&\dfrac52-5+4x-3x=-\dfrac74\\ 2, Simplify by combining like terms&-\dfrac52+x=-\dfrac74\end{array}\right|$

$\left|\begin{array}{c|cc} 3, Use the addition property of equality&-\dfrac52+\dfrac52+x=-\dfrac74+\dfrac{10}{4}\\ 4, Simplify by combining like terms&x=\dfrac34\end{array}\right|$

In Step 1, he simply rearranged like terms. He did not use the distributive property. Therefore, the instruction in Step 1 was incorrect.