Решите систему уравнений 2x+3y=5 3x-4y=-2

Решите задачу:

$\left \{ {{2x+3y=5} \atop {3x-4y=-2}} \right.$
$\left \{ {{x=2.5-1.5y} \atop {3x-4y=-2}} \right.$
$\left \{ {{x=2.5-1.5y} \atop {3(2.5-1.5y)-4y=-2}} \right.$
$\left \{ {{x=2.5-1.5y} \atop {7.5-4.5y-4y=-2}} \right.$
$\left \{ {{x=2.5-1.5y} \atop {-8.5y=-9.5}} \right.$
$\left \{ {{x=2.5-1.5y} \atop {y= \frac{95}{85}= \frac{19}{17} }} \right.$
$\left \{ {{x=2.5-1.5*\frac{19}{17}} \atop {y= \frac{19}{17} }} \right.$
$\left \{ {{x= \frac{5}{2} - \frac{3}{2} *\frac{19}{17}} \atop {y= \frac{19}{17} }} \right.$
$\left \{ {{x= \frac{5}{2} - \frac{57}{34}} \atop {y= \frac{19}{17} }} \right.$
$\left \{ {{x= \frac{85}{34} - \frac{57}{34}= \frac{28}{34} } \atop {y= \frac{19}{17} }} \right.$
$\left \{ {{x= \frac{14}{17} } \atop {y= \frac{19}{17} }} \right.$