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

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Tell whether the ordered pair (? 4,? 2) is a solution

ashtonbillups

08.01.2022

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.

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