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

Infinitely many solutions.

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.