Respuesta :
Answer: The answer is YES.
Step-by-step explanation: The given system of equations is
[tex]y=2x+6,\\\\y=-3x-14.[/tex]
We are to check whether (4, 2) is a solution of the given system or not.
Comparing both the given equations, we have
[tex]2x+6=-3x-14\\\\\Rightarrow 2x+3x=-14-6\\\\\Rightarrow 5x=-20\\\\\Rightarrow x=-4,[/tex]
and
[tex]y=2x+6=2\times(-4)+6=-2.[/tex]
Therefore, (-4, -2) is a solution of the given system.
Thus, the answer is YES.
