Answer: x=6 y=6
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]
Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:
[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]
