Answer
There is no solution for this system.
Work Step by Step
1. In order to eliminate the $x$ unknown, multiply the second equation by 3, then add the equations:
$2x + 3y = 2$
$2(-x - \frac {3y}{2}) = 2(\frac 1 2)$
$2x + 3y = 2$
$-2x - 3y = 1$
- Adding:
$2x - 2x + 3y - 3y = 2 + 1$
$0 = 3$
- As 0 is definitely not equal to 3, this is an inconsistent system, so there is no solution.
