#### Answer

No solutions exist.

#### Work Step by Step

(1) $6x+8y=15$
(2) $4y=-3x+15$
Multiply equation (2) by $2$, and then add the two equations.
$8y+30=15+8y$
Subtract $8y$ from both sides, and we get
$30=15$, which does not make sense. So there are no solutions.