Question

Describe and correct the error in finding the value of x.

HELP ASAP!!

Answer 1

4x + 6 isnt equal to 3x + 9

it is equal to 5x - 1

Answer 2

The correct solution is
`\(x = (2)/(3)\), not \(x = 3\)`. The error in the solution was in incorrectly setting up the equation to equate the lengths of the segments.

Let's analyze the given solution and identify the error:

1. 4x + 6 = 3x + 9 (Equation representing the segment XY and WZ)

2. x + 6 = 9 (Subtracting 3x from both sides)

3. x = 3 (Subtracting 6 from both sides)

Now, let's check this solution in the context of the given problem:

The equation 4x + 6 = 3x + 9 is an attempt to equate the lengths of XY and WZ. However, it's incorrect because these two segments are not necessarily equal. Instead, the correct equation should be:

XY + YW = WZ

So, the correct equation is:

(4x + 6) + (5x - 1) = 3x + 9

Now, solve for x:

9x + 5 = 3x + 9

Subtract 3x from both sides:

6x + 5 = 9

Subtract 5 from both sides:

6x = 4

Divide by 6:

`\[ x = (2)/(3) \]`

Therefore, the correct solution is
`\(x = (2)/(3)\), not \(x = 3\)`. The error in the solution was in incorrectly setting up the equation to equate the lengths of the segments.