Question

How many solutions does the equation have?

Answer 1

Answer:

A. 0

Step-by-step 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.  

Answer 2

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