Question

How many solutions does this equation have? 5(n - 2) = 5n - 10

Answer 1

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 2

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given equation is

$5(n-2)=5n-10$

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

Using distributive property we get

$5(n)+5(-2)=5n-10$

$5n-10=5n-10$

Add 10 on both sides.

$5n=5n$

Subtract 5n from both sides.

$5n-5n=5n-5n$

$0=0$

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

Therefore, the given equation has infinitely many solutions.