Question

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

Answer 1

Answer:

Step 2

Step-by-step explanation:

The given equation is:

$\frac{5}{2}-3x-5+4x=\frac{-7}{4}$

Simplifying the above equation, we get

Step 1. Rewriting the like terms, we get

$\frac{5}{2}-5+4x-3x=\frac{-7}{4}$

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

$\frac{-5}{2}+x=\frac{-7}{4}$ (which is the incorrect step in the already given proof)

Step 3. Adding $\frac{5}{2}$ on both the sides, we get

$\frac{-5}{2}+\frac{5}{2}+x=\frac{-7}{4}+\frac{10}{4}$ ($\frac{5}{2}$ can be written as $\frac{10}{4}$)

Step 4. Solving the above equation, we get

$x=\frac{3}{4}$

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

Answer 2

Step two is the correct answer.