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: No

Explanation:

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Answer 2

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*(-4)+6=-2.`

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

Thus, the answer is YES.