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

Zero
One
Two
Infinitely many


Sagot :

Answer:

Zero

Step-by-step explanation:

Let's start by solving the equation.

[tex]x+5=x[/tex]

Subtract x from both sides

[tex]5=0[/tex]

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

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

We are given with the equation :

[tex]{:\implies \quad \sf x+5=x}[/tex]

Subtract x from both sides

[tex]{:\implies \quad \sf x+5-x=x-x}[/tex]

[tex]{:\implies \quad \sf \cancel{x}+5-\cancel{x}=\cancel{x}-\cancel{x}}[/tex]

[tex]{:\implies \quad \sf 5=0}[/tex]

[tex]{\because}[/tex] 5 ≠ 0 . So , the equation doesn't have any solution.

Hence , Option A) Zero is correct

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