Answer
No Solution
Work Step by Step
Given system is-
$2x -3y$ = $-8$ __ eq.1
$14x -21y$ = $3$ __ eq.2
Multiplying eq.1 by 7-
$14x -21y$ = $-56$ __ eq.3
Subtracting eq.2 from eq.3 -
$(14x -21y)-(14x -21y)$ = $-56-3$
$0$ = $-59$
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.
