Answer
No Solution
Work Step by Step
Given system is-
$x +4y$ = $8$ __ eq.1
$3x +12y$ = $2$ __ eq.2
Multiplying eq.1 by '3'-
$3x +12y$ = $24$ __ eq.3
Subtracting eq.2 from eq.3 -
$(3x +12y)-(3x +12y)$ = $24-2$
$0$ = $22$
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.