If 4x − 3y = 8 and 12x − 9y = 25, then

To solve the system of equations:

1. $4x - 3y = 8$
2. $12x - 9y = 25$

First, observe that the second equation is a multiple of the first equation. Multiply the first equation by 3:

$3(4x - 3y) = 3(8)$

This gives:

$12x - 9y = 24$

Now, compare this with the second equation:

$12x - 9y = 25$

We see that:

$24 \neq 25$

This indicates that the two equations are inconsistent. Therefore, there is no solution to this system of equations.