Answer
$(-2,0)$ is not a solution,
$(-10,6)$ is not a solution,
$(5,0)$ 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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$(x,y)=(-2,0)$
$2(-2)-5(0)=0$
$-4-0=0 \qquad $.... false, not a solution
$(x,y)=(-10,6)$
$2(-10)-5(6)=0$
$-20-30=0 \qquad $.... false, not a solution
$(x,y)=(5,0)$
$2(5)-5(0)=0$
$10-0=0 \qquad $.... false, not a solution