Answer
$(0,6)$ is a solution,
$(-3,0)$ is a solution,
$(2,-2)$ is not a solution.
Work Step by Step
An ordered pair (a,b) is a solution of an equation in x and y if,
substituting a for x and b for y,
we obtain an equation that holds true.
Another way of stating this is that (a,b) satisfies the equation.
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$(x,y)=(0,6)$
$6=2(0) +6$
$6=6 \qquad $.... true, a solution
$(x,y)=(-3,0)$
$0=2(-3) +6$
$0=-6+6 \qquad $.... true, a solution
$(x,y)=(2,-2)$
$-2=2(2) +6$
$-2=10 \qquad $.... false, not a solution