Question

Tell whether the ordered pair (?4,?2) is a solution of the system of linear equations. Y=2x+6 y=-3x-14

Answer 1

Answer: The answer is YES.

Step-by-step explanation:  The given system of equations is

$y=2x+6,\\\\y=-3x-14.$

We are to check whether (4, 2) is a solution of the given system or not.

Comparing both the given equations, we have

$2x+6=-3x-14\\\\\Rightarrow 2x+3x=-14-6\\\\\Rightarrow 5x=-20\\\\\Rightarrow x=-4,$

and

$y=2x+6=2\times(-4)+6=-2.$

Therefore, (-4, -2) is a solution of the given system.

Thus, the answer is YES.