Question

How many solutions does the equation have?

4(2n−4)+3=8n−19

A;0

B;1

C; infinity many

Answer 1

Let's solve and find out.

4(2n - 4) + 3 = 8n - 19
8n - 16 + 3 = 8n - 19
8n - 13 = 8n - 19
-13 = -19

-13 and -19 are not equal, so the equation has no solutions.

Answer:
A. 0

Answer 2

A. 0

Explanation:

We have been given two equations and we are asked to find the number of solutions our equations have.

`4(2n-4)+3=8n-19`

Let us simplify left side of our equation by distributing 4.

`8n-16+3=8n-19`

`8n-13=8n-19`

We can see that both of our equations have same slope that is 8, but their y-intercepts are different. This means that our equations are parallel and they will never intersect, therefore, our equations will have no solution and option A is the correct choice.