Question

4n - 9 =2 (5+ 2n)

n= 0
n= 19
no solutions
many solutions!!

Answer 1

No solution

Explanation:

There are no values of n that make the equation true.

Answer 2

No solutions.

Explanation:

We have been given an equation
`4n-9 =2 (5+2n)`. We are asked to find the solution of our given equation.

First of all, we will use distributive property on right side of equation as:

`4n-9 =10+4n`

We can see that both lines are parallel as both lines have same slope and different y-intercepts.

We also know that two parallel lines never intersect, therefore, there is no solution for the given equation.

We can also try to solve our equation as:

`4n-4n-9 =10+4n-4n`

`-9=10`

Since both sides of equation are not equal, so there is no solution for our given equation.