Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
[tex] \left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right. [/tex]
Step 2. Add both equations together. You'll get:
[tex]-x=2[/tex], which gives x = -2
Step 3. Replace x = -2 in the first equation and calculate y.
[tex]3(-2)+2y=4\\
y=\frac{4+6}{2}=5[/tex]
The solution is: x=-2, y=5
