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

2x - one over four of (12x + 4) = 3

Step 1: 2x + 3x + 1 = 3

Step 2: 5x + 1 = 3

Step 3: 5x + 1 - 1 = 3 - 1

Step 4: 5x = 2

In 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 subtracted from both sides of the equation

No error was made

Question

Mathematics

Denisse Faulkner

7 March, 05:38

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

2x - one over four of (12x + 4) = 3

Step 1: 2x + 3x + 1 = 3

Step 2: 5x + 1 = 3

Step 3: 5x + 1 - 1 = 3 - 1

Step 4: 5x = 2

In 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 subtracted from both sides of the equation

No error was made

+4

Answers (2)

Know the Answer?

Alma Carney · Answer 1

Hello,

2x - one over four of (12x + 4) = 3

must be written:

2x-1/4 * (12x+4) = 3

And we see a sign '-' before 1/4.

Step 1:

2x - (3x+1) = 3 or 2x-3x-1=3 and not 2x+3x-1=3

Answer A

since Step 1, because incorrect signs have been used

And here, Mehek are there sufficients explanations?

June Shepard · Answer 2

2x - one over four of (12x + 4) = 3 in the original statement is expressed as 2x - 0.25 * (12x + 4). The "of" conjunction means multiplication. Therefore, the statement is expressed as 2x - 3x - 1 = 3. Step one shows different signs on the third and second terms as it did not consider the negative sign. The answer hence is A. Step 1, because incorrect signs have been used