Question

4n − 3 = −2 n + 9n = 2 Is 2 the solution? yes or no, how do you know?

Answer 1

$

4n-3=-2n+9n \\

6n-3=9n \\

3n=-3 \\

n=\boxed{-1}

$

2 is not a solution but -1.

Answer 2

ANSWER

No, n=2 is not a solution.

EXPLANATION

The given equation is

$4n - 3 = - 2n + 9n$

If n=2 is a solution, then it must satisfy this equation.

We substitite n=2 into the equation to get:

$4(2)- 3 = - 2(2)+ 9(2)$

$8- 3 = - 4+ 18$

$5 = 14$

This statement is false

Therefore n=2 us not a solution.