Determine whether the given ordered pair is a solution to the system of equations. Yes or no?

(6,-1)

x-y=3

2x+5y=6

No

Solution:

Substitute the values of x & y into the first equation
6 -(-1) = 3
6 + 5 is NOT equal to 3
Therefore we can say this is not true
For this to be true, when substituting the values of x & y, the equation must be true for BOTH equations. Since it’s not true for the first equation it doesn’t matter if it’s true or not for the other equation.

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