Question

2x + 7 - x = 3+ x +4Identity or inconsistent

Answer 1

Given:

`2x+7-x=3+x+4`

To find whether the equation is identity or inconsistent.

Identity:

If the given equation is equal on both sides after solving and has same value for all real numbers then the equation is identity.

Inconsistent:

If the equation has no solution and not equal on both sides then the equation is inconsistent.

Now solving the equation:

`\begin{gathered} 2x+7-x=3+x+4 \\ x+7=7+x \\ x+7=x+7 \end{gathered}`

Now clearly the equation is same on both sides and true for all real numbers so the equation is identity.

Hence, the answer is identity.