Answer
See below
Work Step by Step
Given: $9x-12y=20\\-6x+8y=11$
Multiply the first equation by 2, and the second equation by 3:
$18x-24y=40\\-18x+24y=33$
Add the equations: $0x-0y=73\\0=73$
Since $0\ne 73$, this system doesn't have solutions.