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Ariannamarie01
Answered

An equation and the steps to solve it are shown below:


7x − one over two (8x + 4) = 6


Step 1: 7x − 4x − 2 = 6

Step 2: 3x − 2 = 6

Step 3: 3x − 2 + 2 = 6

Step 4: 3x = 6

Step 5: x = 2


Which step was the error made and why?


Step 1, because incorrect signs have been used


Step 2, because the terms have been added incorrectly


Step 3, because a number has been added only to one side of the equation


No error was made

Verified Answer :

texaschic101

step 3....because a number has been added only to one side of the equation

Answer:

Step 3, because a number has been added only to one side of the equation

Step-by-step explanation:

Here, the given equation is,

\(7x-\frac{1}{2}(8x+4)=6\)

The steps for solving this equation would be,

Step 1 : Apply distributive property on left side of the equation,

\(7x-4x-2=6\)

Step 2 : Combine like terms in left side,

\(3x-2=6\)

Step 3 : Add 2 on both sides ( additive property of equality ),

\(3x-2+2 = 6+2\)

Step 4 : Combine like terms,

\(3x=8\)

Step 5 : Isolate x,

\(x=\frac{8}{3}\)

Thus, by the above explanation it is clear that he did it mistake on step 3, ( he did not add 2 on right side of the equation ),

Hence, Third option is correct.