Answer:
[tex](-2;-6)[/tex]
Step-by-step explanation:
First of all, let's rewrite the first one after dividing both sides by 2.
[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]
Now, let's pick one you want to eliminate.
Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable
[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]
Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable
[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]
