Answer
No Solution
Work Step by Step
Given system is-
$-3x +5y$ = $2$ __ eq.1
$9x -15y$ = $6$ __ eq.2
Multiplying eq.1 by '3'-
$-9x +15y$ = $6$ __ eq.3
Adding eq.2 and eq.3 -
$9x -15y+9x -15y$ = $6+6$
$0$ = $12$
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.
