Answer
No Solution
Work Step by Step
Given system is-
$\frac{1}{3}x -\frac{1}{4}y$ = $2$ __ eq.1
$-8x +6y$ = $10$ __ eq.2
Multiplying eq.1 by (-24)
$-8x +6y$ = $-48$ __ eq.3
Subtracting eq.2 from eq.3 -
$(-8x +6y)-(-8x +6y)$ = $-48-10$
$0$ = $-58$
Which is obviously false statement. No matter what values we assign to x and y, we cannot make this statement true, so the system has no solution.
Thus given system has no solution.