An equation and the steps to solve it are shown below:
3x − one over two (8x − 2) = 4
Step 1: 3x − 4x + 1 = 4
Step 2: x + 1 = 4
Step 3: x + 1 − 1 = 4 − 1
Step 4: x = 3
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 numbers have been added to both sides of the equation
No error was made
pls help me
1/2 = one over two
Step 2, 3x - 4x = -x
what’s the answer
The error was made in Step 1.
In Step 1, it should be 3x - (1/2)(8x - 2) = 4 instead of 3x - 4x + 1 = 4.
The error was caused by incorrectly distributing the negative sign to both terms inside the parentheses.
To correct this, you should apply the distributive property:
3x - (1/2)(8x - 2)
= 3x - 4x + 1
= -x + 1.
The rest of the steps will follow correctly from this point onwards.
In this equation and the steps provided, the error was made in Step 1.
To solve the equation 3x - 1/2(8x - 2) = 4, we need to perform the steps accurately. Let's break down each step to identify the mistake.
Step 1: 3x - 4x + 1 = 4
In this step, the error occurred during the distribution of -1/2 to the terms inside the parentheses. The correct distribution would be:
3x - (1/2 * 8x) + (1/2 * 2) = 4
3x - 4x/2 + 1 = 4
3x - 2x + 1 = 4
So the correct equation after the distribution of -1/2 would be 3x - 2x + 1 = 4, instead of 3x - 4x + 1 = 4.
Step 2: x + 1 = 4
This step is correct and simplifies the left side of the equation.
Step 3: x + 1 - 1 = 4 - 1
In this step, both sides of the equation have been subtracted by 1. This step is correct and simplifies the right side of the equation.
Step 4: x = 3
This step is correct and solves for the variable x.
Therefore, the error occurred in Step 1 because incorrect signs were used in the equation.