Answer
no solution
Work Step by Step
Multiply the first equation by -2. Add the equations.
$3x+4y=24\ \ \ \ $multiply by -2$\ \ \ \ -6x-8y=-48$
$6x+8y=24\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{6x+8y=\ \ 24}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=-24$
Since this equation is false, the system has no solution.
