Question

(07.01)How many solutions can be found for the equation x + 5 = x?

Zero
One
Two
Infinitely many

Answer 1

We are given with an equation and had to choose the correct option from given

We are given with the equation :

`{:\implies \quad \sf x+5=x}`

Subtract x from both sides

`{:\implies \quad \sf x+5-x=x-x}`

`{:\implies \quad \sf \cancel{x}+5-\cancel{x}=\cancel{x}-\cancel{x}}`

`{:\implies \quad \sf 5=0}`

`{\because}` 5 ≠ 0 . So , the equation doesn't have any solution.

Hence , Option A) Zero is correct

Answer 2

Zero

Explanation:

Let's start by solving the equation.

`x+5=x`

Subtract x from both sides

`5=0`

Therefore there are no solutions since this is not a true statement.