Respuesta :

Hersheys900
Step 1: DISTRIBUTE THE PARENTHESES 5(n-2)----->5n-10 Step 2:BRING DOWN THE REST OF THE EQUATION 5n-10=5n-10 Step 3: CROSS OUT THE 5n ON BOTH SIDES Step 4: IS -10=-10 TRUE?? Solution: YES!! SO IT HAS INFINITELY MANY SOLUTIONS :)

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given equation is

[tex]5(n-2)=5n-10[/tex]

We need to find the number of solutions for the given equation.

Using distributive property we get

[tex]5(n)+5(-2)=5n-10[/tex]

[tex]5n-10=5n-10[/tex]

Add 10 on both sides.

[tex]5n=5n[/tex]

Subtract 5n from both sides.

[tex]5n-5n=5n-5n[/tex]

[tex]0=0[/tex]

This statement is free from n and it is true for any value of n.

Therefore, the given equation has infinitely many solutions.

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