Question

Deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x = -7/4

Step 1: 5/2-5+4x-3x=-7/4
Step 2: -5/2+x+-7/4
Step 3: -5/2+5/2+x = -7/4+10/4
Step 4: x = 3/4Which step has an incorrect instruction?

Answer 1

Step two is the correct answer.

Answer 2

Step 2

Explanation:

The given equation is:

`(5)/(2)-3x-5+4x=(-7)/(4)`

Simplifying the above equation, we get

Step 1. Rewriting the like terms, we get

`(5)/(2)-5+4x-3x=(-7)/(4)`

Step 2. Adding and subtracting the like terms, we have

`(-5)/(2)+x=(-7)/(4)` (which is the incorrect step in the already given proof)

Step 3. Adding
`(5)/(2)` on both the sides, we get

`(-5)/(2)+(5)/(2)+x=(-7)/(4)+(10)/(4)` (
`(5)/(2)` can be written as
`(10)/(4)`)

Step 4. Solving the above equation, we get

`x=(3)/(4)`

Thus, the step 2 is incorrect in the given proof.